7x-6=8x+6

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


Simplifying
7x + -6 = 8x + 6

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

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

Solving
-6 + 7x = 6 + 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.
-6 + 7x + -8x = 6 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-6 + -1x = 6 + 0
-6 + -1x = 6

Add '6' to each side of the equation.
-6 + 6 + -1x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 6 + 6
-1x = 6 + 6

Combine like terms: 6 + 6 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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