2(x-6)=3x+2

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Solution for 2(x-6)=3x+2 equation:


Simplifying
2(x + -6) = 3x + 2

Reorder the terms:
2(-6 + x) = 3x + 2
(-6 * 2 + x * 2) = 3x + 2
(-12 + 2x) = 3x + 2

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

Solving
-12 + 2x = 2 + 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.
-12 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-12 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -1x = 2 + 0
-12 + -1x = 2

Add '12' to each side of the equation.
-12 + 12 + -1x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 2 + 12
-1x = 2 + 12

Combine like terms: 2 + 12 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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