(x-7)=6x+8

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


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

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

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

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

Solving
-7 + x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + x + -6x = 8 + 6x + -6x

Combine like terms: x + -6x = -5x
-7 + -5x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -5x = 8 + 0
-7 + -5x = 8

Add '7' to each side of the equation.
-7 + 7 + -5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 8 + 7
-5x = 8 + 7

Combine like terms: 8 + 7 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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