(8x-13)-(3x-1)=5x-12

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Solution for (8x-13)-(3x-1)=5x-12 equation: 


Simplifying
(8x + -13) + -1(3x + -1) = 5x + -12

Reorder the terms:
(-13 + 8x) + -1(3x + -1) = 5x + -12

Remove parenthesis around (-13 + 8x)
-13 + 8x + -1(3x + -1) = 5x + -12

Reorder the terms:
-13 + 8x + -1(-1 + 3x) = 5x + -12
-13 + 8x + (-1 * -1 + 3x * -1) = 5x + -12
-13 + 8x + (1 + -3x) = 5x + -12

Reorder the terms:
-13 + 1 + 8x + -3x = 5x + -12

Combine like terms: -13 + 1 = -12
-12 + 8x + -3x = 5x + -12

Combine like terms: 8x + -3x = 5x
-12 + 5x = 5x + -12

Reorder the terms:
-12 + 5x = -12 + 5x

Add '12' to each side of the equation.
-12 + 12 + 5x = -12 + 12 + 5x

Combine like terms: -12 + 12 = 0
0 + 5x = -12 + 12 + 5x
5x = -12 + 12 + 5x

Combine like terms: -12 + 12 = 0
5x = 0 + 5x
5x = 5x

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

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

Combine like terms: 5x + -5x = 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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