3(2x-3)-3(-2x+3)=15x-9

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Solution for 3(2x-3)-3(-2x+3)=15x-9 equation:


Simplifying
3(2x + -3) + -3(-2x + 3) = 15x + -9

Reorder the terms:
3(-3 + 2x) + -3(-2x + 3) = 15x + -9
(-3 * 3 + 2x * 3) + -3(-2x + 3) = 15x + -9
(-9 + 6x) + -3(-2x + 3) = 15x + -9

Reorder the terms:
-9 + 6x + -3(3 + -2x) = 15x + -9
-9 + 6x + (3 * -3 + -2x * -3) = 15x + -9
-9 + 6x + (-9 + 6x) = 15x + -9

Reorder the terms:
-9 + -9 + 6x + 6x = 15x + -9

Combine like terms: -9 + -9 = -18
-18 + 6x + 6x = 15x + -9

Combine like terms: 6x + 6x = 12x
-18 + 12x = 15x + -9

Reorder the terms:
-18 + 12x = -9 + 15x

Solving
-18 + 12x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-18 + 12x + -15x = -9 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-18 + -3x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
-18 + -3x = -9 + 0
-18 + -3x = -9

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

Combine like terms: -18 + 18 = 0
0 + -3x = -9 + 18
-3x = -9 + 18

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

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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