2(x-3)+x=3(x-5)+9

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Solution for 2(x-3)+x=3(x-5)+9 equation:


Simplifying
2(x + -3) + x = 3(x + -5) + 9

Reorder the terms:
2(-3 + x) + x = 3(x + -5) + 9
(-3 * 2 + x * 2) + x = 3(x + -5) + 9
(-6 + 2x) + x = 3(x + -5) + 9

Combine like terms: 2x + x = 3x
-6 + 3x = 3(x + -5) + 9

Reorder the terms:
-6 + 3x = 3(-5 + x) + 9
-6 + 3x = (-5 * 3 + x * 3) + 9
-6 + 3x = (-15 + 3x) + 9

Reorder the terms:
-6 + 3x = -15 + 9 + 3x

Combine like terms: -15 + 9 = -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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