133-(6x+12)=6(x+5)+x

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Solution for 133-(6x+12)=6(x+5)+x equation:


Simplifying
133 + -1(6x + 12) = 6(x + 5) + x

Reorder the terms:
133 + -1(12 + 6x) = 6(x + 5) + x
133 + (12 * -1 + 6x * -1) = 6(x + 5) + x
133 + (-12 + -6x) = 6(x + 5) + x

Combine like terms: 133 + -12 = 121
121 + -6x = 6(x + 5) + x

Reorder the terms:
121 + -6x = 6(5 + x) + x
121 + -6x = (5 * 6 + x * 6) + x
121 + -6x = (30 + 6x) + x

Combine like terms: 6x + x = 7x
121 + -6x = 30 + 7x

Solving
121 + -6x = 30 + 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.
121 + -6x + -7x = 30 + 7x + -7x

Combine like terms: -6x + -7x = -13x
121 + -13x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0
121 + -13x = 30 + 0
121 + -13x = 30

Add '-121' to each side of the equation.
121 + -121 + -13x = 30 + -121

Combine like terms: 121 + -121 = 0
0 + -13x = 30 + -121
-13x = 30 + -121

Combine like terms: 30 + -121 = -91
-13x = -91

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

Simplifying
x = 7

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