10x+17=8x-7

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Solution for 10x+17=8x-7 equation:


Simplifying
10x + 17 = 8x + -7

Reorder the terms:
17 + 10x = 8x + -7

Reorder the terms:
17 + 10x = -7 + 8x

Solving
17 + 10x = -7 + 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.
17 + 10x + -8x = -7 + 8x + -8x

Combine like terms: 10x + -8x = 2x
17 + 2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
17 + 2x = -7 + 0
17 + 2x = -7

Add '-17' to each side of the equation.
17 + -17 + 2x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -7 + -17
2x = -7 + -17

Combine like terms: -7 + -17 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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