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

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


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

Reorder the terms:
7 + -1(-6 + x) = 8x + -8
7 + (-6 * -1 + x * -1) = 8x + -8
7 + (6 + -1x) = 8x + -8

Combine like terms: 7 + 6 = 13
13 + -1x = 8x + -8

Reorder the terms:
13 + -1x = -8 + 8x

Solving
13 + -1x = -8 + 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.
13 + -1x + -8x = -8 + 8x + -8x

Combine like terms: -1x + -8x = -9x
13 + -9x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -9x = -8 + 0
13 + -9x = -8

Add '-13' to each side of the equation.
13 + -13 + -9x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = -8 + -13
-9x = -8 + -13

Combine like terms: -8 + -13 = -21
-9x = -21

Divide each side by '-9'.
x = 2.333333333

Simplifying
x = 2.333333333

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