136-(6x+3)=6(x+7)+x

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Solution for 136-(6x+3)=6(x+7)+x equation:


Simplifying
136 + -1(6x + 3) = 6(x + 7) + x

Reorder the terms:
136 + -1(3 + 6x) = 6(x + 7) + x
136 + (3 * -1 + 6x * -1) = 6(x + 7) + x
136 + (-3 + -6x) = 6(x + 7) + x

Combine like terms: 136 + -3 = 133
133 + -6x = 6(x + 7) + x

Reorder the terms:
133 + -6x = 6(7 + x) + x
133 + -6x = (7 * 6 + x * 6) + x
133 + -6x = (42 + 6x) + x

Combine like terms: 6x + x = 7x
133 + -6x = 42 + 7x

Solving
133 + -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.
133 + -6x + -7x = 42 + 7x + -7x

Combine like terms: -6x + -7x = -13x
133 + -13x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
133 + -13x = 42 + 0
133 + -13x = 42

Add '-133' to each side of the equation.
133 + -133 + -13x = 42 + -133

Combine like terms: 133 + -133 = 0
0 + -13x = 42 + -133
-13x = 42 + -133

Combine like terms: 42 + -133 = -91
-13x = -91

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

Simplifying
x = 7

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