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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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