8x+2=10x-x

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Solution for 8x+2=10x-x equation:


Simplifying
8x + 2 = 10x + -1x

Reorder the terms:
2 + 8x = 10x + -1x

Combine like terms: 10x + -1x = 9x
2 + 8x = 9x

Solving
2 + 8x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 8x + -9x = 9x + -9x

Combine like terms: 8x + -9x = -1x
2 + -1x = 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -1x = 0

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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