-5x+15=2x-6

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Solution for -5x+15=2x-6 equation: 


Simplifying
-5x + 15 = 2x + -6

Reorder the terms:
15 + -5x = 2x + -6

Reorder the terms:
15 + -5x = -6 + 2x

Solving
15 + -5x = -6 + 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.
15 + -5x + -2x = -6 + 2x + -2x

Combine like terms: -5x + -2x = -7x
15 + -7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -7x = -6 + 0
15 + -7x = -6

Add '-15' to each side of the equation.
15 + -15 + -7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -6 + -15
-7x = -6 + -15

Combine like terms: -6 + -15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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