(2x+3)-2*(5x-1)=(7x-1)*2*(3x+11)

Solution for (2x+3)-2*(5x-1)=(7x-1)*2*(3x+11) equation:

Simplifying
(2x + 3) + -2(5x + -1) = (7x + -1) * 2(3x + 11)

Reorder the terms:
(3 + 2x) + -2(5x + -1) = (7x + -1) * 2(3x + 11)

Remove parenthesis around (3 + 2x)
3 + 2x + -2(5x + -1) = (7x + -1) * 2(3x + 11)

Reorder the terms:
3 + 2x + -2(-1 + 5x) = (7x + -1) * 2(3x + 11)
3 + 2x + (-1 * -2 + 5x * -2) = (7x + -1) * 2(3x + 11)
3 + 2x + (2 + -10x) = (7x + -1) * 2(3x + 11)

Reorder the terms:
3 + 2 + 2x + -10x = (7x + -1) * 2(3x + 11)

Combine like terms: 3 + 2 = 5
5 + 2x + -10x = (7x + -1) * 2(3x + 11)

Combine like terms: 2x + -10x = -8x
5 + -8x = (7x + -1) * 2(3x + 11)

Reorder the terms:
5 + -8x = (-1 + 7x) * 2(3x + 11)

Reorder the terms:
5 + -8x = (-1 + 7x) * 2(11 + 3x)

Reorder the terms for easier multiplication:
5 + -8x = 2(-1 + 7x)(11 + 3x)

Multiply (-1 + 7x) * (11 + 3x)
5 + -8x = 2(-1(11 + 3x) + 7x * (11 + 3x))
5 + -8x = 2((11 * -1 + 3x * -1) + 7x * (11 + 3x))
5 + -8x = 2((-11 + -3x) + 7x * (11 + 3x))
5 + -8x = 2(-11 + -3x + (11 * 7x + 3x * 7x))
5 + -8x = 2(-11 + -3x + (77x + 21x2))

Combine like terms: -3x + 77x = 74x
5 + -8x = 2(-11 + 74x + 21x2)
5 + -8x = (-11 * 2 + 74x * 2 + 21x2 * 2)
5 + -8x = (-22 + 148x + 42x2)

Solving
5 + -8x = -22 + 148x + 42x2

Solving for variable 'x'.

Reorder the terms:
5 + 22 + -8x + -148x + -42x2 = -22 + 148x + 42x2 + 22 + -148x + -42x2

Combine like terms: 5 + 22 = 27
27 + -8x + -148x + -42x2 = -22 + 148x + 42x2 + 22 + -148x + -42x2

Combine like terms: -8x + -148x = -156x
27 + -156x + -42x2 = -22 + 148x + 42x2 + 22 + -148x + -42x2

Reorder the terms:
27 + -156x + -42x2 = -22 + 22 + 148x + -148x + 42x2 + -42x2

Combine like terms: -22 + 22 = 0
27 + -156x + -42x2 = 0 + 148x + -148x + 42x2 + -42x2
27 + -156x + -42x2 = 148x + -148x + 42x2 + -42x2

Combine like terms: 148x + -148x = 0
27 + -156x + -42x2 = 0 + 42x2 + -42x2
27 + -156x + -42x2 = 42x2 + -42x2

Combine like terms: 42x2 + -42x2 = 0
27 + -156x + -42x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -52x + -14x2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(9 + -52x + -14x2)' equal to zero and attempt to solve:

Simplifying
9 + -52x + -14x2 = 0

Solving
9 + -52x + -14x2 = 0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
-0.6428571429 + 3.714285714x + x2 = 0

Move the constant term to the right:

Add '0.6428571429' to each side of the equation.
-0.6428571429 + 3.714285714x + 0.6428571429 + x2 = 0 + 0.6428571429

Reorder the terms:
-0.6428571429 + 0.6428571429 + 3.714285714x + x2 = 0 + 0.6428571429

Combine like terms: -0.6428571429 + 0.6428571429 = 0.0000000000
0.0000000000 + 3.714285714x + x2 = 0 + 0.6428571429
3.714285714x + x2 = 0 + 0.6428571429

Combine like terms: 0 + 0.6428571429 = 0.6428571429
3.714285714x + x2 = 0.6428571429

The x term is 3.714285714x.  Take half its coefficient (1.857142857).
Square it (3.448979591) and add it to both sides.

Add '3.448979591' to each side of the equation.
3.714285714x + 3.448979591 + x2 = 0.6428571429 + 3.448979591

Reorder the terms:
3.448979591 + 3.714285714x + x2 = 0.6428571429 + 3.448979591

Combine like terms: 0.6428571429 + 3.448979591 = 4.0918367339
3.448979591 + 3.714285714x + x2 = 4.0918367339

Factor a perfect square on the left side:
(x + 1.857142857)(x + 1.857142857) = 4.0918367339

Calculate the square root of the right side: 2.022828894

Break this problem into two subproblems by setting 
(x + 1.857142857) equal to 2.022828894 and -2.022828894.

Subproblem 1
x + 1.857142857 = 2.022828894

Simplifying
x + 1.857142857 = 2.022828894

Reorder the terms:
1.857142857 + x = 2.022828894

Solving
1.857142857 + x = 2.022828894

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.857142857' to each side of the equation.
1.857142857 + -1.857142857 + x = 2.022828894 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + x = 2.022828894 + -1.857142857
x = 2.022828894 + -1.857142857

Combine like terms: 2.022828894 + -1.857142857 = 0.165686037
x = 0.165686037

Simplifying
x = 0.165686037

Subproblem 2
x + 1.857142857 = -2.022828894

Simplifying
x + 1.857142857 = -2.022828894

Reorder the terms:
1.857142857 + x = -2.022828894

Solving
1.857142857 + x = -2.022828894

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.857142857' to each side of the equation.
1.857142857 + -1.857142857 + x = -2.022828894 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + x = -2.022828894 + -1.857142857
x = -2.022828894 + -1.857142857

Combine like terms: -2.022828894 + -1.857142857 = -3.879971751
x = -3.879971751

Simplifying
x = -3.879971751

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.165686037, -3.879971751}
Solution
x = {0.165686037, -3.879971751}