(7-10x)-(8-8x)+(10x+6)=-8

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Solution for (7-10x)-(8-8x)+(10x+6)=-8 equation:


Simplifying
(7 + -10x) + -1(8 + -8x) + (10x + 6) = -8

Remove parenthesis around (7 + -10x)
7 + -10x + -1(8 + -8x) + (10x + 6) = -8
7 + -10x + (8 * -1 + -8x * -1) + (10x + 6) = -8
7 + -10x + (-8 + 8x) + (10x + 6) = -8

Reorder the terms:
7 + -10x + -8 + 8x + (6 + 10x) = -8

Remove parenthesis around (6 + 10x)
7 + -10x + -8 + 8x + 6 + 10x = -8

Reorder the terms:
7 + -8 + 6 + -10x + 8x + 10x = -8

Combine like terms: 7 + -8 = -1
-1 + 6 + -10x + 8x + 10x = -8

Combine like terms: -1 + 6 = 5
5 + -10x + 8x + 10x = -8

Combine like terms: -10x + 8x = -2x
5 + -2x + 10x = -8

Combine like terms: -2x + 10x = 8x
5 + 8x = -8

Solving
5 + 8x = -8

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 8x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -8 + -5
8x = -8 + -5

Combine like terms: -8 + -5 = -13
8x = -13

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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