-2(7x-12)=-6+9(x-12)

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Solution for -2(7x-12)=-6+9(x-12) equation: 


Simplifying
-2(7x + -12) = -6 + 9(x + -12)

Reorder the terms:
-2(-12 + 7x) = -6 + 9(x + -12)
(-12 * -2 + 7x * -2) = -6 + 9(x + -12)
(24 + -14x) = -6 + 9(x + -12)

Reorder the terms:
24 + -14x = -6 + 9(-12 + x)
24 + -14x = -6 + (-12 * 9 + x * 9)
24 + -14x = -6 + (-108 + 9x)

Combine like terms: -6 + -108 = -114
24 + -14x = -114 + 9x

Solving
24 + -14x = -114 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + -14x + -9x = -114 + 9x + -9x

Combine like terms: -14x + -9x = -23x
24 + -23x = -114 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -23x = -114 + 0
24 + -23x = -114

Add '-24' to each side of the equation.
24 + -24 + -23x = -114 + -24

Combine like terms: 24 + -24 = 0
0 + -23x = -114 + -24
-23x = -114 + -24

Combine like terms: -114 + -24 = -138
-23x = -138

Divide each side by '-23'.
x = 6

Simplifying
x = 6

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