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

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


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

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

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

Reorder the terms:
-6 + 3x = 3(-3 + x) + 3
-6 + 3x = (-3 * 3 + x * 3) + 3
-6 + 3x = (-9 + 3x) + 3

Reorder the terms:
-6 + 3x = -9 + 3 + 3x

Combine like terms: -9 + 3 = -6
-6 + 3x = -6 + 3x

Add '6' to each side of the equation.
-6 + 6 + 3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 3x = -6 + 6 + 3x
3x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
3x = 0 + 3x
3x = 3x

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

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

Combine like terms: 3x + -3x = 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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