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 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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