3(x-6)=12-(x-6)

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Solution for 3(x-6)=12-(x-6) equation:


Simplifying
3(x + -6) = 12 + -1(x + -6)

Reorder the terms:
3(-6 + x) = 12 + -1(x + -6)
(-6 * 3 + x * 3) = 12 + -1(x + -6)
(-18 + 3x) = 12 + -1(x + -6)

Reorder the terms:
-18 + 3x = 12 + -1(-6 + x)
-18 + 3x = 12 + (-6 * -1 + x * -1)
-18 + 3x = 12 + (6 + -1x)

Combine like terms: 12 + 6 = 18
-18 + 3x = 18 + -1x

Solving
-18 + 3x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-18 + 3x + x = 18 + -1x + x

Combine like terms: 3x + x = 4x
-18 + 4x = 18 + -1x + x

Combine like terms: -1x + x = 0
-18 + 4x = 18 + 0
-18 + 4x = 18

Add '18' to each side of the equation.
-18 + 18 + 4x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 18 + 18
4x = 18 + 18

Combine like terms: 18 + 18 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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