7(8-(-8x-7))=224x+252

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Solution for 7(8-(-8x-7))=224x+252 equation:


Simplifying
7(8 + -1(-8x + -7)) = 224x + 252

Reorder the terms:
7(8 + -1(-7 + -8x)) = 224x + 252
7(8 + (-7 * -1 + -8x * -1)) = 224x + 252
7(8 + (7 + 8x)) = 224x + 252

Combine like terms: 8 + 7 = 15
7(15 + 8x) = 224x + 252
(15 * 7 + 8x * 7) = 224x + 252
(105 + 56x) = 224x + 252

Reorder the terms:
105 + 56x = 252 + 224x

Solving
105 + 56x = 252 + 224x

Solving for variable 'x'.

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

Add '-224x' to each side of the equation.
105 + 56x + -224x = 252 + 224x + -224x

Combine like terms: 56x + -224x = -168x
105 + -168x = 252 + 224x + -224x

Combine like terms: 224x + -224x = 0
105 + -168x = 252 + 0
105 + -168x = 252

Add '-105' to each side of the equation.
105 + -105 + -168x = 252 + -105

Combine like terms: 105 + -105 = 0
0 + -168x = 252 + -105
-168x = 252 + -105

Combine like terms: 252 + -105 = 147
-168x = 147

Divide each side by '-168'.
x = -0.875

Simplifying
x = -0.875

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