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 = 1
1 + -1x = 8x + -8

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

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

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

Combine like terms: 8x + -8x = 0
1 + -9x = -8 + 0
1 + -9x = -8

Add '-1' to each side of the equation.
1 + -1 + -9x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -8 + -1
-9x = -8 + -1

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

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

Simplifying
x = 1

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