6x-9=-12x+36

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Solution for 6x-9=-12x+36 equation:


Simplifying
6x + -9 = -12x + 36

Reorder the terms:
-9 + 6x = -12x + 36

Reorder the terms:
-9 + 6x = 36 + -12x

Solving
-9 + 6x = 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.
-9 + 6x + 12x = 36 + -12x + 12x

Combine like terms: 6x + 12x = 18x
-9 + 18x = 36 + -12x + 12x

Combine like terms: -12x + 12x = 0
-9 + 18x = 36 + 0
-9 + 18x = 36

Add '9' to each side of the equation.
-9 + 9 + 18x = 36 + 9

Combine like terms: -9 + 9 = 0
0 + 18x = 36 + 9
18x = 36 + 9

Combine like terms: 36 + 9 = 45
18x = 45

Divide each side by '18'.
x = 2.5

Simplifying
x = 2.5

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