3(x-6)=2x+6

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


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

Reorder the terms:
3(-6 + x) = 2x + 6
(-6 * 3 + x * 3) = 2x + 6
(-18 + 3x) = 2x + 6

Reorder the terms:
-18 + 3x = 6 + 2x

Solving
-18 + 3x = 6 + 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.
-18 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-18 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 1x = 6 + 0
-18 + 1x = 6

Add '18' to each side of the equation.
-18 + 18 + 1x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 6 + 18
1x = 6 + 18

Combine like terms: 6 + 18 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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