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

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


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

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

Reorder the terms:
24 + 2x + -2y = 3(-2 + x)
24 + 2x + -2y = (-2 * 3 + x * 3)
24 + 2x + -2y = (-6 + 3x)

Solving
24 + 2x + -2y = -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.
24 + 2x + -3x + -2y = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
24 + -1x + -2y = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -1x + -2y = -6 + 0
24 + -1x + -2y = -6

Add '-24' to each side of the equation.
24 + -1x + -24 + -2y = -6 + -24

Reorder the terms:
24 + -24 + -1x + -2y = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -1x + -2y = -6 + -24
-1x + -2y = -6 + -24

Combine like terms: -6 + -24 = -30
-1x + -2y = -30

Add '2y' to each side of the equation.
-1x + -2y + 2y = -30 + 2y

Combine like terms: -2y + 2y = 0
-1x + 0 = -30 + 2y
-1x = -30 + 2y

Divide each side by '-1'.
x = 30 + -2y

Simplifying
x = 30 + -2y

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