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

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


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

Reorder the terms:
-1 + 13x = 2(5x + 2) + 3x + -5

Reorder the terms:
-1 + 13x = 2(2 + 5x) + 3x + -5
-1 + 13x = (2 * 2 + 5x * 2) + 3x + -5
-1 + 13x = (4 + 10x) + 3x + -5

Reorder the terms:
-1 + 13x = 4 + -5 + 10x + 3x

Combine like terms: 4 + -5 = -1
-1 + 13x = -1 + 10x + 3x

Combine like terms: 10x + 3x = 13x
-1 + 13x = -1 + 13x

Add '1' to each side of the equation.
-1 + 1 + 13x = -1 + 1 + 13x

Combine like terms: -1 + 1 = 0
0 + 13x = -1 + 1 + 13x
13x = -1 + 1 + 13x

Combine like terms: -1 + 1 = 0
13x = 0 + 13x
13x = 13x

Add '-13x' to each side of the equation.
13x + -13x = 13x + -13x

Combine like terms: 13x + -13x = 0
0 = 13x + -13x

Combine like terms: 13x + -13x = 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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