-5-(15x-1)=2(7x-16)x

Solution for -5-(15x-1)=2(7x-16)x equation:

Simplifying
-5 + -1(15x + -1) = 2(7x + -16) * x

Reorder the terms:
-5 + -1(-1 + 15x) = 2(7x + -16) * x
-5 + (-1 * -1 + 15x * -1) = 2(7x + -16) * x
-5 + (1 + -15x) = 2(7x + -16) * x

Combine like terms: -5 + 1 = -4
-4 + -15x = 2(7x + -16) * x

Reorder the terms:
-4 + -15x = 2(-16 + 7x) * x

Reorder the terms for easier multiplication:
-4 + -15x = 2x(-16 + 7x)
-4 + -15x = (-16 * 2x + 7x * 2x)
-4 + -15x = (-32x + 14x2)

Solving
-4 + -15x = -32x + 14x2

Solving for variable 'x'.

Combine like terms: -15x + 32x = 17x
-4 + 17x + -14x2 = -32x + 14x2 + 32x + -14x2

Reorder the terms:
-4 + 17x + -14x2 = -32x + 32x + 14x2 + -14x2

Combine like terms: -32x + 32x = 0
-4 + 17x + -14x2 = 0 + 14x2 + -14x2
-4 + 17x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-4 + 17x + -14x2 = 0

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

Divide each side by '-14'.
0.2857142857 + -1.214285714x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -1.214285714x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -1.214285714x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -1.214285714x + x2 = 0 + -0.2857142857
-1.214285714x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-1.214285714x + x2 = -0.2857142857

The x term is -1.214285714x.  Take half its coefficient (-0.607142857).
Square it (0.3686224488) and add it to both sides.

Add '0.3686224488' to each side of the equation.
-1.214285714x + 0.3686224488 + x2 = -0.2857142857 + 0.3686224488

Reorder the terms:
0.3686224488 + -1.214285714x + x2 = -0.2857142857 + 0.3686224488

Combine like terms: -0.2857142857 + 0.3686224488 = 0.0829081631
0.3686224488 + -1.214285714x + x2 = 0.0829081631

Factor a perfect square on the left side:
(x + -0.607142857)(x + -0.607142857) = 0.0829081631

Calculate the square root of the right side: 0.287937776

Break this problem into two subproblems by setting 
(x + -0.607142857) equal to 0.287937776 and -0.287937776.

Subproblem 1
x + -0.607142857 = 0.287937776

Simplifying
x + -0.607142857 = 0.287937776

Reorder the terms:
-0.607142857 + x = 0.287937776

Solving
-0.607142857 + x = 0.287937776

Solving for variable 'x'.

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

Add '0.607142857' to each side of the equation.
-0.607142857 + 0.607142857 + x = 0.287937776 + 0.607142857

Combine like terms: -0.607142857 + 0.607142857 = 0.000000000
0.000000000 + x = 0.287937776 + 0.607142857
x = 0.287937776 + 0.607142857

Combine like terms: 0.287937776 + 0.607142857 = 0.895080633
x = 0.895080633

Simplifying
x = 0.895080633

Subproblem 2
x + -0.607142857 = -0.287937776

Simplifying
x + -0.607142857 = -0.287937776

Reorder the terms:
-0.607142857 + x = -0.287937776

Solving
-0.607142857 + x = -0.287937776

Solving for variable 'x'.

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

Add '0.607142857' to each side of the equation.
-0.607142857 + 0.607142857 + x = -0.287937776 + 0.607142857

Combine like terms: -0.607142857 + 0.607142857 = 0.000000000
0.000000000 + x = -0.287937776 + 0.607142857
x = -0.287937776 + 0.607142857

Combine like terms: -0.287937776 + 0.607142857 = 0.319205081
x = 0.319205081

Simplifying
x = 0.319205081

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.895080633, 0.319205081}