3(x-2)=2(2x-1)-12

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Solution for 3(x-2)=2(2x-1)-12 equation:


Simplifying
3(x + -2) = 2(2x + -1) + -12

Reorder the terms:
3(-2 + x) = 2(2x + -1) + -12
(-2 * 3 + x * 3) = 2(2x + -1) + -12
(-6 + 3x) = 2(2x + -1) + -12

Reorder the terms:
-6 + 3x = 2(-1 + 2x) + -12
-6 + 3x = (-1 * 2 + 2x * 2) + -12
-6 + 3x = (-2 + 4x) + -12

Reorder the terms:
-6 + 3x = -2 + -12 + 4x

Combine like terms: -2 + -12 = -14
-6 + 3x = -14 + 4x

Solving
-6 + 3x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 3x + -4x = -14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = -14 + 0
-6 + -1x = -14

Add '6' to each side of the equation.
-6 + 6 + -1x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -14 + 6
-1x = -14 + 6

Combine like terms: -14 + 6 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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