3x+5-x=6+x-2

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Solution for 3x+5-x=6+x-2 equation:


Simplifying
3x + 5 + -1x = 6 + x + -2

Reorder the terms:
5 + 3x + -1x = 6 + x + -2

Combine like terms: 3x + -1x = 2x
5 + 2x = 6 + x + -2

Reorder the terms:
5 + 2x = 6 + -2 + x

Combine like terms: 6 + -2 = 4
5 + 2x = 4 + x

Solving
5 + 2x = 4 + x

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.
5 + 2x + -1x = 4 + x + -1x

Combine like terms: 2x + -1x = 1x
5 + 1x = 4 + x + -1x

Combine like terms: x + -1x = 0
5 + 1x = 4 + 0
5 + 1x = 4

Add '-5' to each side of the equation.
5 + -5 + 1x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 4 + -5
1x = 4 + -5

Combine like terms: 4 + -5 = -1
1x = -1

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

Simplifying
x = -1

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