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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 8x + -8x = 0
1 + -1x = -7 + 0
1 + -1x = -7

Add '-1' to each side of the equation.
1 + -1 + -1x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -7 + -1
-1x = -7 + -1

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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