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

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


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

Reorder the terms:
3(-6 + 3x) = 6 + -2(x + -6)
(-6 * 3 + 3x * 3) = 6 + -2(x + -6)
(-18 + 9x) = 6 + -2(x + -6)

Reorder the terms:
-18 + 9x = 6 + -2(-6 + x)
-18 + 9x = 6 + (-6 * -2 + x * -2)
-18 + 9x = 6 + (12 + -2x)

Combine like terms: 6 + 12 = 18
-18 + 9x = 18 + -2x

Solving
-18 + 9x = 18 + -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 + 9x + 2x = 18 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-18 + 11x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 11x = 18 + 0
-18 + 11x = 18

Add '18' to each side of the equation.
-18 + 18 + 11x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 11x = 18 + 18
11x = 18 + 18

Combine like terms: 18 + 18 = 36
11x = 36

Divide each side by '11'.
x = 3.272727273

Simplifying
x = 3.272727273

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