(2x-7)-15=15-(8x+7)

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Solution for (2x-7)-15=15-(8x+7) equation:


Simplifying
(2x + -7) + -15 = 15 + -1(8x + 7)

Reorder the terms:
(-7 + 2x) + -15 = 15 + -1(8x + 7)

Remove parenthesis around (-7 + 2x)
-7 + 2x + -15 = 15 + -1(8x + 7)

Reorder the terms:
-7 + -15 + 2x = 15 + -1(8x + 7)

Combine like terms: -7 + -15 = -22
-22 + 2x = 15 + -1(8x + 7)

Reorder the terms:
-22 + 2x = 15 + -1(7 + 8x)
-22 + 2x = 15 + (7 * -1 + 8x * -1)
-22 + 2x = 15 + (-7 + -8x)

Combine like terms: 15 + -7 = 8
-22 + 2x = 8 + -8x

Solving
-22 + 2x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-22 + 2x + 8x = 8 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-22 + 10x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-22 + 10x = 8 + 0
-22 + 10x = 8

Add '22' to each side of the equation.
-22 + 22 + 10x = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 10x = 8 + 22
10x = 8 + 22

Combine like terms: 8 + 22 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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