7(5-(-2x-8))=70x+315

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Solution for 7(5-(-2x-8))=70x+315 equation:


Simplifying
7(5 + -1(-2x + -8)) = 70x + 315

Reorder the terms:
7(5 + -1(-8 + -2x)) = 70x + 315
7(5 + (-8 * -1 + -2x * -1)) = 70x + 315
7(5 + (8 + 2x)) = 70x + 315

Combine like terms: 5 + 8 = 13
7(13 + 2x) = 70x + 315
(13 * 7 + 2x * 7) = 70x + 315
(91 + 14x) = 70x + 315

Reorder the terms:
91 + 14x = 315 + 70x

Solving
91 + 14x = 315 + 70x

Solving for variable 'x'.

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

Add '-70x' to each side of the equation.
91 + 14x + -70x = 315 + 70x + -70x

Combine like terms: 14x + -70x = -56x
91 + -56x = 315 + 70x + -70x

Combine like terms: 70x + -70x = 0
91 + -56x = 315 + 0
91 + -56x = 315

Add '-91' to each side of the equation.
91 + -91 + -56x = 315 + -91

Combine like terms: 91 + -91 = 0
0 + -56x = 315 + -91
-56x = 315 + -91

Combine like terms: 315 + -91 = 224
-56x = 224

Divide each side by '-56'.
x = -4

Simplifying
x = -4

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