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

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


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

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

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

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

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

Solving
1 + 3x = -3 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -2

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