3(x-6)=-9x+18

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Solution for 3(x-6)=-9x+18 equation:


Simplifying
3(x + -6) = -9x + 18

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

Reorder the terms:
-18 + 3x = 18 + -9x

Solving
-18 + 3x = 18 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-18 + 3x + 9x = 18 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-18 + 12x = 18 + -9x + 9x

Combine like terms: -9x + 9x = 0
-18 + 12x = 18 + 0
-18 + 12x = 18

Add '18' to each side of the equation.
-18 + 18 + 12x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 18 + 18
12x = 18 + 18

Combine like terms: 18 + 18 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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