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

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


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

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

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

Solving
-6 + 3x = 12 + 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.
-6 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = 12 + 0
-6 + 1x = 12

Add '6' to each side of the equation.
-6 + 6 + 1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 12 + 6
1x = 12 + 6

Combine like terms: 12 + 6 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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