118-(7x+8)=7(x+5)+x

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Solution for 118-(7x+8)=7(x+5)+x equation:


Simplifying
118 + -1(7x + 8) = 7(x + 5) + x

Reorder the terms:
118 + -1(8 + 7x) = 7(x + 5) + x
118 + (8 * -1 + 7x * -1) = 7(x + 5) + x
118 + (-8 + -7x) = 7(x + 5) + x

Combine like terms: 118 + -8 = 110
110 + -7x = 7(x + 5) + x

Reorder the terms:
110 + -7x = 7(5 + x) + x
110 + -7x = (5 * 7 + x * 7) + x
110 + -7x = (35 + 7x) + x

Combine like terms: 7x + x = 8x
110 + -7x = 35 + 8x

Solving
110 + -7x = 35 + 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.
110 + -7x + -8x = 35 + 8x + -8x

Combine like terms: -7x + -8x = -15x
110 + -15x = 35 + 8x + -8x

Combine like terms: 8x + -8x = 0
110 + -15x = 35 + 0
110 + -15x = 35

Add '-110' to each side of the equation.
110 + -110 + -15x = 35 + -110

Combine like terms: 110 + -110 = 0
0 + -15x = 35 + -110
-15x = 35 + -110

Combine like terms: 35 + -110 = -75
-15x = -75

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

Simplifying
x = 5

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