120(x-3)=6(2x-3)-18

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Solution for 120(x-3)=6(2x-3)-18 equation: 


Simplifying
120(x + -3) = 6(2x + -3) + -18

Reorder the terms:
120(-3 + x) = 6(2x + -3) + -18
(-3 * 120 + x * 120) = 6(2x + -3) + -18
(-360 + 120x) = 6(2x + -3) + -18

Reorder the terms:
-360 + 120x = 6(-3 + 2x) + -18
-360 + 120x = (-3 * 6 + 2x * 6) + -18
-360 + 120x = (-18 + 12x) + -18

Reorder the terms:
-360 + 120x = -18 + -18 + 12x

Combine like terms: -18 + -18 = -36
-360 + 120x = -36 + 12x

Solving
-360 + 120x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-360 + 120x + -12x = -36 + 12x + -12x

Combine like terms: 120x + -12x = 108x
-360 + 108x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-360 + 108x = -36 + 0
-360 + 108x = -36

Add '360' to each side of the equation.
-360 + 360 + 108x = -36 + 360

Combine like terms: -360 + 360 = 0
0 + 108x = -36 + 360
108x = -36 + 360

Combine like terms: -36 + 360 = 324
108x = 324

Divide each side by '108'.
x = 3

Simplifying
x = 3

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