-5x+6=2x-15

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = 3

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