2x-8+3x+15=2x-2

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Solution for 2x-8+3x+15=2x-2 equation:


Simplifying
2x + -8 + 3x + 15 = 2x + -2

Reorder the terms:
-8 + 15 + 2x + 3x = 2x + -2

Combine like terms: -8 + 15 = 7
7 + 2x + 3x = 2x + -2

Combine like terms: 2x + 3x = 5x
7 + 5x = 2x + -2

Reorder the terms:
7 + 5x = -2 + 2x

Solving
7 + 5x = -2 + 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.
7 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = -2 + 0
7 + 3x = -2

Add '-7' to each side of the equation.
7 + -7 + 3x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -2 + -7
3x = -2 + -7

Combine like terms: -2 + -7 = -9
3x = -9

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

Simplifying
x = -3

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