3x-x-8=-(x-10)+2x

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Solution for 3x-x-8=-(x-10)+2x equation:


Simplifying
3x + -1x + -8 = -1(x + -10) + 2x

Reorder the terms:
-8 + 3x + -1x = -1(x + -10) + 2x

Combine like terms: 3x + -1x = 2x
-8 + 2x = -1(x + -10) + 2x

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

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

Solving
-8 + 2x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 2x + -1x = 10 + 1x + -1x

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

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

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

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

Combine like terms: 10 + 8 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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