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 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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