8[6-(-2x-9)]=112x+552

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Solution for 8[6-(-2x-9)]=112x+552 equation: 


Simplifying
8[6 + -1(-2x + -9)] = 112x + 552

Reorder the terms:
8[6 + -1(-9 + -2x)] = 112x + 552
8[6 + (-9 * -1 + -2x * -1)] = 112x + 552
8[6 + (9 + 2x)] = 112x + 552

Combine like terms: 6 + 9 = 15
8[15 + 2x] = 112x + 552
[15 * 8 + 2x * 8] = 112x + 552
[120 + 16x] = 112x + 552

Reorder the terms:
120 + 16x = 552 + 112x

Solving
120 + 16x = 552 + 112x

Solving for variable 'x'.

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

Add '-112x' to each side of the equation.
120 + 16x + -112x = 552 + 112x + -112x

Combine like terms: 16x + -112x = -96x
120 + -96x = 552 + 112x + -112x

Combine like terms: 112x + -112x = 0
120 + -96x = 552 + 0
120 + -96x = 552

Add '-120' to each side of the equation.
120 + -120 + -96x = 552 + -120

Combine like terms: 120 + -120 = 0
0 + -96x = 552 + -120
-96x = 552 + -120

Combine like terms: 552 + -120 = 432
-96x = 432

Divide each side by '-96'.
x = -4.5

Simplifying
x = -4.5

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