-2x+15=3x-15

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Solution for -2x+15=3x-15 equation:


Simplifying
-2x + 15 = 3x + -15

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

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

Solving
15 + -2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -2x + -3x = -15 + 3x + -3x

Combine like terms: -2x + -3x = -5x
15 + -5x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -5x = -15 + 0
15 + -5x = -15

Add '-15' to each side of the equation.
15 + -15 + -5x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -15 + -15
-5x = -15 + -15

Combine like terms: -15 + -15 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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