2x+3-x=3x+2+x-8

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Solution for 2x+3-x=3x+2+x-8 equation:


Simplifying
2x + 3 + -1x = 3x + 2 + x + -8

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

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

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

Combine like terms: 2 + -8 = -6
3 + 1x = -6 + 3x + x

Combine like terms: 3x + x = 4x
3 + 1x = -6 + 4x

Solving
3 + 1x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 1x + -4x = -6 + 4x + -4x

Combine like terms: 1x + -4x = -3x
3 + -3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -3x = -6 + 0
3 + -3x = -6

Add '-3' to each side of the equation.
3 + -3 + -3x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

Combine like terms: -6 + -3 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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