6x-8=-x+10

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Solution for 6x-8=-x+10 equation:


Simplifying
6x + -8 = -1x + 10

Reorder the terms:
-8 + 6x = -1x + 10

Reorder the terms:
-8 + 6x = 10 + -1x

Solving
-8 + 6x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 6x + x = 10 + -1x + x

Combine like terms: 6x + x = 7x
-8 + 7x = 10 + -1x + x

Combine like terms: -1x + x = 0
-8 + 7x = 10 + 0
-8 + 7x = 10

Add '8' to each side of the equation.
-8 + 8 + 7x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 10 + 8
7x = 10 + 8

Combine like terms: 10 + 8 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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