-3(x-2)+18=-2(3-x)+15

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Solution for -3(x-2)+18=-2(3-x)+15 equation: 


Simplifying
-3(x + -2) + 18 = -2(3 + -1x) + 15

Reorder the terms:
-3(-2 + x) + 18 = -2(3 + -1x) + 15
(-2 * -3 + x * -3) + 18 = -2(3 + -1x) + 15
(6 + -3x) + 18 = -2(3 + -1x) + 15

Reorder the terms:
6 + 18 + -3x = -2(3 + -1x) + 15

Combine like terms: 6 + 18 = 24
24 + -3x = -2(3 + -1x) + 15
24 + -3x = (3 * -2 + -1x * -2) + 15
24 + -3x = (-6 + 2x) + 15

Reorder the terms:
24 + -3x = -6 + 15 + 2x

Combine like terms: -6 + 15 = 9
24 + -3x = 9 + 2x

Solving
24 + -3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + -3x + -2x = 9 + 2x + -2x

Combine like terms: -3x + -2x = -5x
24 + -5x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + -5x = 9 + 0
24 + -5x = 9

Add '-24' to each side of the equation.
24 + -24 + -5x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 9 + -24
-5x = 9 + -24

Combine like terms: 9 + -24 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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