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

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


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

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

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

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

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

Solving
-1 + 5x = 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 + 5x + -3x = 1 + 3x + -3x

Combine like terms: 5x + -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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