135-(6x+15)=6(x+7)+x

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Solution for 135-(6x+15)=6(x+7)+x equation:


Simplifying
135 + -1(6x + 15) = 6(x + 7) + x

Reorder the terms:
135 + -1(15 + 6x) = 6(x + 7) + x
135 + (15 * -1 + 6x * -1) = 6(x + 7) + x
135 + (-15 + -6x) = 6(x + 7) + x

Combine like terms: 135 + -15 = 120
120 + -6x = 6(x + 7) + x

Reorder the terms:
120 + -6x = 6(7 + x) + x
120 + -6x = (7 * 6 + x * 6) + x
120 + -6x = (42 + 6x) + x

Combine like terms: 6x + x = 7x
120 + -6x = 42 + 7x

Solving
120 + -6x = 42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
120 + -6x + -7x = 42 + 7x + -7x

Combine like terms: -6x + -7x = -13x
120 + -13x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
120 + -13x = 42 + 0
120 + -13x = 42

Add '-120' to each side of the equation.
120 + -120 + -13x = 42 + -120

Combine like terms: 120 + -120 = 0
0 + -13x = 42 + -120
-13x = 42 + -120

Combine like terms: 42 + -120 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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