7x-2=8x+6

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Solution for 7x-2=8x+6 equation:


Simplifying
7x + -2 = 8x + 6

Reorder the terms:
-2 + 7x = 8x + 6

Reorder the terms:
-2 + 7x = 6 + 8x

Solving
-2 + 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.
-2 + 7x + -8x = 6 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-2 + -1x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -1x = 6 + 0
-2 + -1x = 6

Add '2' to each side of the equation.
-2 + 2 + -1x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 6 + 2
-1x = 6 + 2

Combine like terms: 6 + 2 = 8
-1x = 8

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

Simplifying
x = -8

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