3(x-5)+7=2(x-5)+2+x

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Solution for 3(x-5)+7=2(x-5)+2+x equation: 


Simplifying
3(x + -5) + 7 = 2(x + -5) + 2 + x

Reorder the terms:
3(-5 + x) + 7 = 2(x + -5) + 2 + x
(-5 * 3 + x * 3) + 7 = 2(x + -5) + 2 + x
(-15 + 3x) + 7 = 2(x + -5) + 2 + x

Reorder the terms:
-15 + 7 + 3x = 2(x + -5) + 2 + x

Combine like terms: -15 + 7 = -8
-8 + 3x = 2(x + -5) + 2 + x

Reorder the terms:
-8 + 3x = 2(-5 + x) + 2 + x
-8 + 3x = (-5 * 2 + x * 2) + 2 + x
-8 + 3x = (-10 + 2x) + 2 + x

Reorder the terms:
-8 + 3x = -10 + 2 + 2x + x

Combine like terms: -10 + 2 = -8
-8 + 3x = -8 + 2x + x

Combine like terms: 2x + x = 3x
-8 + 3x = -8 + 3x

Add '8' to each side of the equation.
-8 + 8 + 3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
0 + 3x = -8 + 8 + 3x
3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 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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