2(3x+4)=5(x-1)+x+13

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Solution for 2(3x+4)=5(x-1)+x+13 equation: 


Simplifying
2(3x + 4) = 5(x + -1) + x + 13

Reorder the terms:
2(4 + 3x) = 5(x + -1) + x + 13
(4 * 2 + 3x * 2) = 5(x + -1) + x + 13
(8 + 6x) = 5(x + -1) + x + 13

Reorder the terms:
8 + 6x = 5(-1 + x) + x + 13
8 + 6x = (-1 * 5 + x * 5) + x + 13
8 + 6x = (-5 + 5x) + x + 13

Reorder the terms:
8 + 6x = -5 + 13 + 5x + x

Combine like terms: -5 + 13 = 8
8 + 6x = 8 + 5x + x

Combine like terms: 5x + x = 6x
8 + 6x = 8 + 6x

Add '-8' to each side of the equation.
8 + -8 + 6x = 8 + -8 + 6x

Combine like terms: 8 + -8 = 0
0 + 6x = 8 + -8 + 6x
6x = 8 + -8 + 6x

Combine like terms: 8 + -8 = 0
6x = 0 + 6x
6x = 6x

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

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

Combine like terms: 6x + -6x = 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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