(5x-3)=(2x+1)

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Solution for (5x-3)=(2x+1) equation:


Simplifying
(5x + -3) = (2x + 1)

Reorder the terms:
(-3 + 5x) = (2x + 1)

Remove parenthesis around (-3 + 5x)
-3 + 5x = (2x + 1)

Reorder the terms:
-3 + 5x = (1 + 2x)

Remove parenthesis around (1 + 2x)
-3 + 5x = 1 + 2x

Solving
-3 + 5x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 5x + -2x = 1 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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