3(x-2)+11=2(x-4)+x+13

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Solution for 3(x-2)+11=2(x-4)+x+13 equation: 


Simplifying
3(x + -2) + 11 = 2(x + -4) + x + 13

Reorder the terms:
3(-2 + x) + 11 = 2(x + -4) + x + 13
(-2 * 3 + x * 3) + 11 = 2(x + -4) + x + 13
(-6 + 3x) + 11 = 2(x + -4) + x + 13

Reorder the terms:
-6 + 11 + 3x = 2(x + -4) + x + 13

Combine like terms: -6 + 11 = 5
5 + 3x = 2(x + -4) + x + 13

Reorder the terms:
5 + 3x = 2(-4 + x) + x + 13
5 + 3x = (-4 * 2 + x * 2) + x + 13
5 + 3x = (-8 + 2x) + x + 13

Reorder the terms:
5 + 3x = -8 + 13 + 2x + x

Combine like terms: -8 + 13 = 5
5 + 3x = 5 + 2x + x

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 5 + -5 + 3x

Combine like terms: 5 + -5 = 0
0 + 3x = 5 + -5 + 3x
3x = 5 + -5 + 3x

Combine like terms: 5 + -5 = 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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