(3x+1)=(5x-3)

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Solution for (3x+1)=(5x-3) equation:


Simplifying
(3x + 1) = (5x + -3)

Reorder the terms:
(1 + 3x) = (5x + -3)

Remove parenthesis around (1 + 3x)
1 + 3x = (5x + -3)

Reorder the terms:
1 + 3x = (-3 + 5x)

Remove parenthesis around (-3 + 5x)
1 + 3x = -3 + 5x

Solving
1 + 3x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 3x + -5x = -3 + 5x + -5x

Combine like terms: 3x + -5x = -2x
1 + -2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 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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