10-(x+8)=8x-7

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Solution for 10-(x+8)=8x-7 equation: 


Simplifying
10 + -1(x + 8) = 8x + -7

Reorder the terms:
10 + -1(8 + x) = 8x + -7
10 + (8 * -1 + x * -1) = 8x + -7
10 + (-8 + -1x) = 8x + -7

Combine like terms: 10 + -8 = 2
2 + -1x = 8x + -7

Reorder the terms:
2 + -1x = -7 + 8x

Solving
2 + -1x = -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.
2 + -1x + -8x = -7 + 8x + -8x

Combine like terms: -1x + -8x = -9x
2 + -9x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -9x = -7 + 0
2 + -9x = -7

Add '-2' to each side of the equation.
2 + -2 + -9x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = -7 + -2
-9x = -7 + -2

Combine like terms: -7 + -2 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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