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

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


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

Reorder the terms:
3(-2 + x) + 2x = 2(x + -3) + 3x
(-2 * 3 + x * 3) + 2x = 2(x + -3) + 3x
(-6 + 3x) + 2x = 2(x + -3) + 3x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 2(x + -3) + 3x

Reorder the terms:
-6 + 5x = 2(-3 + x) + 3x
-6 + 5x = (-3 * 2 + x * 2) + 3x
-6 + 5x = (-6 + 2x) + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = -6 + 5x

Add '6' to each side of the equation.
-6 + 6 + 5x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + 5x = -6 + 6 + 5x
5x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 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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