115-(6x+6)=6(x+3)+x

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Solution for 115-(6x+6)=6(x+3)+x equation:


Simplifying
115 + -1(6x + 6) = 6(x + 3) + x

Reorder the terms:
115 + -1(6 + 6x) = 6(x + 3) + x
115 + (6 * -1 + 6x * -1) = 6(x + 3) + x
115 + (-6 + -6x) = 6(x + 3) + x

Combine like terms: 115 + -6 = 109
109 + -6x = 6(x + 3) + x

Reorder the terms:
109 + -6x = 6(3 + x) + x
109 + -6x = (3 * 6 + x * 6) + x
109 + -6x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
109 + -6x = 18 + 7x

Solving
109 + -6x = 18 + 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.
109 + -6x + -7x = 18 + 7x + -7x

Combine like terms: -6x + -7x = -13x
109 + -13x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
109 + -13x = 18 + 0
109 + -13x = 18

Add '-109' to each side of the equation.
109 + -109 + -13x = 18 + -109

Combine like terms: 109 + -109 = 0
0 + -13x = 18 + -109
-13x = 18 + -109

Combine like terms: 18 + -109 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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