136-(7x+5)=7(x+8)+x

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Solution for 136-(7x+5)=7(x+8)+x equation:


Simplifying
136 + -1(7x + 5) = 7(x + 8) + x

Reorder the terms:
136 + -1(5 + 7x) = 7(x + 8) + x
136 + (5 * -1 + 7x * -1) = 7(x + 8) + x
136 + (-5 + -7x) = 7(x + 8) + x

Combine like terms: 136 + -5 = 131
131 + -7x = 7(x + 8) + x

Reorder the terms:
131 + -7x = 7(8 + x) + x
131 + -7x = (8 * 7 + x * 7) + x
131 + -7x = (56 + 7x) + x

Combine like terms: 7x + x = 8x
131 + -7x = 56 + 8x

Solving
131 + -7x = 56 + 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.
131 + -7x + -8x = 56 + 8x + -8x

Combine like terms: -7x + -8x = -15x
131 + -15x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
131 + -15x = 56 + 0
131 + -15x = 56

Add '-131' to each side of the equation.
131 + -131 + -15x = 56 + -131

Combine like terms: 131 + -131 = 0
0 + -15x = 56 + -131
-15x = 56 + -131

Combine like terms: 56 + -131 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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