6(3x-3)=-9x+72

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Solution for 6(3x-3)=-9x+72 equation:


Simplifying
6(3x + -3) = -9x + 72

Reorder the terms:
6(-3 + 3x) = -9x + 72
(-3 * 6 + 3x * 6) = -9x + 72
(-18 + 18x) = -9x + 72

Reorder the terms:
-18 + 18x = 72 + -9x

Solving
-18 + 18x = 72 + -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 + 18x + 9x = 72 + -9x + 9x

Combine like terms: 18x + 9x = 27x
-18 + 27x = 72 + -9x + 9x

Combine like terms: -9x + 9x = 0
-18 + 27x = 72 + 0
-18 + 27x = 72

Add '18' to each side of the equation.
-18 + 18 + 27x = 72 + 18

Combine like terms: -18 + 18 = 0
0 + 27x = 72 + 18
27x = 72 + 18

Combine like terms: 72 + 18 = 90
27x = 90

Divide each side by '27'.
x = 3.333333333

Simplifying
x = 3.333333333

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