x+(x-1)=3x-1

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


Simplifying
x + (x + -1) = 3x + -1

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

Remove parenthesis around (-1 + x)
x + -1 + x = 3x + -1

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 2x = -1 + 1 + 3x

Combine like terms: -1 + 1 = 0
0 + 2x = -1 + 1 + 3x
2x = -1 + 1 + 3x

Combine like terms: -1 + 1 = 0
2x = 0 + 3x
2x = 3x

Solving
2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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