5x-1=2x-3

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Solution for 5x-1=2x-3 equation:


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

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

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

Solving
-1 + 5x = -3 + 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.
-1 + 5x + -2x = -3 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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