132-(7+15)=7(x+6)+x

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Solution for 132-(7+15)=7(x+6)+x equation:


Simplifying
132 + -1(7 + 15) = 7(x + 6) + x

Combine like terms: 7 + 15 = 22
132 + -1(22) = 7(x + 6) + x

Multiply -1 * 22
132 + -22 = 7(x + 6) + x

Combine like terms: 132 + -22 = 110
110 = 7(x + 6) + x

Reorder the terms:
110 = 7(6 + x) + x
110 = (6 * 7 + x * 7) + x
110 = (42 + 7x) + x

Combine like terms: 7x + x = 8x
110 = 42 + 8x

Solving
110 = 42 + 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 + -8x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
110 + -8x = 42 + 0
110 + -8x = 42

Add '-110' to each side of the equation.
110 + -110 + -8x = 42 + -110

Combine like terms: 110 + -110 = 0
0 + -8x = 42 + -110
-8x = 42 + -110

Combine like terms: 42 + -110 = -68
-8x = -68

Divide each side by '-8'.
x = 8.5

Simplifying
x = 8.5

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