3x-5-x+1=8-2x

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Solution for 3x-5-x+1=8-2x equation:


Simplifying
3x + -5 + -1x + 1 = 8 + -2x

Reorder the terms:
-5 + 1 + 3x + -1x = 8 + -2x

Combine like terms: -5 + 1 = -4
-4 + 3x + -1x = 8 + -2x

Combine like terms: 3x + -1x = 2x
-4 + 2x = 8 + -2x

Solving
-4 + 2x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 2x + 2x = 8 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-4 + 4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8

Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4

Combine like terms: 8 + 4 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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