3(x-4)=-2(x-5)-12

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Solution for 3(x-4)=-2(x-5)-12 equation: 


Simplifying
3(x + -4) = -2(x + -5) + -12

Reorder the terms:
3(-4 + x) = -2(x + -5) + -12
(-4 * 3 + x * 3) = -2(x + -5) + -12
(-12 + 3x) = -2(x + -5) + -12

Reorder the terms:
-12 + 3x = -2(-5 + x) + -12
-12 + 3x = (-5 * -2 + x * -2) + -12
-12 + 3x = (10 + -2x) + -12

Reorder the terms:
-12 + 3x = 10 + -12 + -2x

Combine like terms: 10 + -12 = -2
-12 + 3x = -2 + -2x

Solving
-12 + 3x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 3x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-12 + 5x = -2 + 0
-12 + 5x = -2

Add '12' to each side of the equation.
-12 + 12 + 5x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -2 + 12
5x = -2 + 12

Combine like terms: -2 + 12 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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