-2x+15=3x-5

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Solution for -2x+15=3x-5 equation:


Simplifying
-2x + 15 = 3x + -5

Reorder the terms:
15 + -2x = 3x + -5

Reorder the terms:
15 + -2x = -5 + 3x

Solving
15 + -2x = -5 + 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 = -5 + 3x + -3x

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

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

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

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

Combine like terms: -5 + -15 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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