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

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


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

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

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

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

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

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

Combine like terms: -3 + 3 = 0
0 + 5x = -3 + 3 + 5x
5x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
5x = 0 + 5x
5x = 5x

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

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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