7+4(2x-1)=3x-5x(1x-6)

Solution for 7+4(2x-1)=3x-5x(1x-6) equation:

Simplifying
7 + 4(2x + -1) = 3x + -5x(1x + -6)

Reorder the terms:
7 + 4(-1 + 2x) = 3x + -5x(1x + -6)
7 + (-1 * 4 + 2x * 4) = 3x + -5x(1x + -6)
7 + (-4 + 8x) = 3x + -5x(1x + -6)

Combine like terms: 7 + -4 = 3
3 + 8x = 3x + -5x(1x + -6)

Reorder the terms:
3 + 8x = 3x + -5x(-6 + 1x)
3 + 8x = 3x + (-6 * -5x + 1x * -5x)
3 + 8x = 3x + (30x + -5x2)

Combine like terms: 3x + 30x = 33x
3 + 8x = 33x + -5x2

Solving
3 + 8x = 33x + -5x2

Solving for variable 'x'.

Combine like terms: 8x + -33x = -25x
3 + -25x + 5x2 = 33x + -5x2 + -33x + 5x2

Reorder the terms:
3 + -25x + 5x2 = 33x + -33x + -5x2 + 5x2

Combine like terms: 33x + -33x = 0
3 + -25x + 5x2 = 0 + -5x2 + 5x2
3 + -25x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
3 + -25x + 5x2 = 0

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

Divide each side by '5'.
0.6 + -5x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -5x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -5x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5x + x2 = 0 + -0.6
-5x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-5x + x2 = -0.6

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -0.6 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -0.6 + 6.25

Combine like terms: -0.6 + 6.25 = 5.65
6.25 + -5x + x2 = 5.65

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 5.65

Calculate the square root of the right side: 2.376972865

Break this problem into two subproblems by setting 
(x + -2.5) equal to 2.376972865 and -2.376972865.

Subproblem 1
x + -2.5 = 2.376972865

Simplifying
x + -2.5 = 2.376972865

Reorder the terms:
-2.5 + x = 2.376972865

Solving
-2.5 + x = 2.376972865

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 2.376972865 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 2.376972865 + 2.5
x = 2.376972865 + 2.5

Combine like terms: 2.376972865 + 2.5 = 4.876972865
x = 4.876972865

Simplifying
x = 4.876972865

Subproblem 2
x + -2.5 = -2.376972865

Simplifying
x + -2.5 = -2.376972865

Reorder the terms:
-2.5 + x = -2.376972865

Solving
-2.5 + x = -2.376972865

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -2.376972865 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -2.376972865 + 2.5
x = -2.376972865 + 2.5

Combine like terms: -2.376972865 + 2.5 = 0.123027135
x = 0.123027135

Simplifying
x = 0.123027135

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.876972865, 0.123027135}