7[5-(-8x-4)]=112x+91

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Solution for 7[5-(-8x-4)]=112x+91 equation:


Simplifying
7[5 + -1(-8x + -4)] = 112x + 91

Reorder the terms:
7[5 + -1(-4 + -8x)] = 112x + 91
7[5 + (-4 * -1 + -8x * -1)] = 112x + 91
7[5 + (4 + 8x)] = 112x + 91

Combine like terms: 5 + 4 = 9
7[9 + 8x] = 112x + 91
[9 * 7 + 8x * 7] = 112x + 91
[63 + 56x] = 112x + 91

Reorder the terms:
63 + 56x = 91 + 112x

Solving
63 + 56x = 91 + 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.
63 + 56x + -112x = 91 + 112x + -112x

Combine like terms: 56x + -112x = -56x
63 + -56x = 91 + 112x + -112x

Combine like terms: 112x + -112x = 0
63 + -56x = 91 + 0
63 + -56x = 91

Add '-63' to each side of the equation.
63 + -63 + -56x = 91 + -63

Combine like terms: 63 + -63 = 0
0 + -56x = 91 + -63
-56x = 91 + -63

Combine like terms: 91 + -63 = 28
-56x = 28

Divide each side by '-56'.
x = -0.5

Simplifying
x = -0.5

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