7x+15=8x-2

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Solution for 7x+15=8x-2 equation:


Simplifying
7x + 15 = 8x + -2

Reorder the terms:
15 + 7x = 8x + -2

Reorder the terms:
15 + 7x = -2 + 8x

Solving
15 + 7x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 7x + -8x = -2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
15 + -1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -1x = -2 + 0
15 + -1x = -2

Add '-15' to each side of the equation.
15 + -15 + -1x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -2 + -15
-1x = -2 + -15

Combine like terms: -2 + -15 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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