2(x-1)+x=3(x-3)+7

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Solution for 2(x-1)+x=3(x-3)+7 equation: 


Simplifying
2(x + -1) + x = 3(x + -3) + 7

Reorder the terms:
2(-1 + x) + x = 3(x + -3) + 7
(-1 * 2 + x * 2) + x = 3(x + -3) + 7
(-2 + 2x) + x = 3(x + -3) + 7

Combine like terms: 2x + x = 3x
-2 + 3x = 3(x + -3) + 7

Reorder the terms:
-2 + 3x = 3(-3 + x) + 7
-2 + 3x = (-3 * 3 + x * 3) + 7
-2 + 3x = (-9 + 3x) + 7

Reorder the terms:
-2 + 3x = -9 + 7 + 3x

Combine like terms: -9 + 7 = -2
-2 + 3x = -2 + 3x

Add '2' to each side of the equation.
-2 + 2 + 3x = -2 + 2 + 3x

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

Combine like terms: -2 + 2 = 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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