3x+1=3x+3-x-1

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Solution for 3x+1=3x+3-x-1 equation: 


Simplifying
3x + 1 = 3x + 3 + -1x + -1

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

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

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

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

Solving
1 + 3x = 2 + 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.
1 + 3x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + 1x = 2 + 0
1 + 1x = 2

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

Combine like terms: 1 + -1 = 0
0 + 1x = 2 + -1
1x = 2 + -1

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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