-5(x-3)+2(x-6)=12

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Solution for -5(x-3)+2(x-6)=12 equation: 


Simplifying
-5(x + -3) + 2(x + -6) = 12

Reorder the terms:
-5(-3 + x) + 2(x + -6) = 12
(-3 * -5 + x * -5) + 2(x + -6) = 12
(15 + -5x) + 2(x + -6) = 12

Reorder the terms:
15 + -5x + 2(-6 + x) = 12
15 + -5x + (-6 * 2 + x * 2) = 12
15 + -5x + (-12 + 2x) = 12

Reorder the terms:
15 + -12 + -5x + 2x = 12

Combine like terms: 15 + -12 = 3
3 + -5x + 2x = 12

Combine like terms: -5x + 2x = -3x
3 + -3x = 12

Solving
3 + -3x = 12

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -3x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 12 + -3
-3x = 12 + -3

Combine like terms: 12 + -3 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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