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

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


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

Reorder the terms:
2(12 + x) + -2 = 3(x + -2)
(12 * 2 + x * 2) + -2 = 3(x + -2)
(24 + 2x) + -2 = 3(x + -2)

Reorder the terms:
24 + -2 + 2x = 3(x + -2)

Combine like terms: 24 + -2 = 22
22 + 2x = 3(x + -2)

Reorder the terms:
22 + 2x = 3(-2 + x)
22 + 2x = (-2 * 3 + x * 3)
22 + 2x = (-6 + 3x)

Solving
22 + 2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
22 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -1x = -6 + 0
22 + -1x = -6

Add '-22' to each side of the equation.
22 + -22 + -1x = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = -6 + -22
-1x = -6 + -22

Combine like terms: -6 + -22 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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