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

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


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

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

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

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

Combine like terms: -2 + 12 = 10
-2 + 3x = 10 + 2x

Solving
-2 + 3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-2 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 1x = 10 + 0
-2 + 1x = 10

Add '2' to each side of the equation.
-2 + 2 + 1x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 10 + 2
1x = 10 + 2

Combine like terms: 10 + 2 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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