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

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


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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
x = 2

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