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

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


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

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

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

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

Remove parenthesis around (3x)
24 + -3x = -2 * 3x + 15

Multiply -2 * 3
24 + -3x = -6x + 15

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

Solving
24 + -3x = 15 + -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.
24 + -3x + 6x = 15 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
24 + 3x = 15 + 0
24 + 3x = 15

Add '-24' to each side of the equation.
24 + -24 + 3x = 15 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 15 + -24
3x = 15 + -24

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

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

Simplifying
x = -3

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