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

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Solution for 3x-5+2x=6-x+1 equation:


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

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

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

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

Combine like terms: 6 + 1 = 7
-5 + 5x = 7 + -1x

Solving
-5 + 5x = 7 + -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.
-5 + 5x + x = 7 + -1x + x

Combine like terms: 5x + x = 6x
-5 + 6x = 7 + -1x + x

Combine like terms: -1x + x = 0
-5 + 6x = 7 + 0
-5 + 6x = 7

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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