2x-8x+1=10-x

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Solution for 2x-8x+1=10-x equation:


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

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

Combine like terms: 2x + -8x = -6x
1 + -6x = 10 + -1x

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

Combine like terms: -6x + x = -5x
1 + -5x = 10 + -1x + x

Combine like terms: -1x + x = 0
1 + -5x = 10 + 0
1 + -5x = 10

Add '-1' to each side of the equation.
1 + -1 + -5x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 10 + -1
-5x = 10 + -1

Combine like terms: 10 + -1 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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