10-(x-1)=8x-3+7x

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Solution for 10-(x-1)=8x-3+7x equation: 


Simplifying
10 + -1(x + -1) = 8x + -3 + 7x

Reorder the terms:
10 + -1(-1 + x) = 8x + -3 + 7x
10 + (-1 * -1 + x * -1) = 8x + -3 + 7x
10 + (1 + -1x) = 8x + -3 + 7x

Combine like terms: 10 + 1 = 11
11 + -1x = 8x + -3 + 7x

Reorder the terms:
11 + -1x = -3 + 8x + 7x

Combine like terms: 8x + 7x = 15x
11 + -1x = -3 + 15x

Solving
11 + -1x = -3 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
11 + -1x + -15x = -3 + 15x + -15x

Combine like terms: -1x + -15x = -16x
11 + -16x = -3 + 15x + -15x

Combine like terms: 15x + -15x = 0
11 + -16x = -3 + 0
11 + -16x = -3

Add '-11' to each side of the equation.
11 + -11 + -16x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -16x = -3 + -11
-16x = -3 + -11

Combine like terms: -3 + -11 = -14
-16x = -14

Divide each side by '-16'.
x = 0.875

Simplifying
x = 0.875

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