3(2x-3)=-6x+9

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Solution for 3(2x-3)=-6x+9 equation:


Simplifying
3(2x + -3) = -6x + 9

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

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

Solving
-9 + 6x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-9 + 6x + 6x = 9 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-9 + 12x = 9 + 0
-9 + 12x = 9

Add '9' to each side of the equation.
-9 + 9 + 12x = 9 + 9

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

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

Divide each side by '12'.
x = 1.5

Simplifying
x = 1.5

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