5x+15=7x-7

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Solution for 5x+15=7x-7 equation:


Simplifying
5x + 15 = 7x + -7

Reorder the terms:
15 + 5x = 7x + -7

Reorder the terms:
15 + 5x = -7 + 7x

Solving
15 + 5x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 5x + -7x = -7 + 7x + -7x

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

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

Add '-15' to each side of the equation.
15 + -15 + -2x = -7 + -15

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

Combine like terms: -7 + -15 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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