4(X-3)+X=5(X-5)+13

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Solution for 4(X-3)+X=5(X-5)+13 equation: 


Simplifying
4(X + -3) + X = 5(X + -5) + 13

Reorder the terms:
4(-3 + X) + X = 5(X + -5) + 13
(-3 * 4 + X * 4) + X = 5(X + -5) + 13
(-12 + 4X) + X = 5(X + -5) + 13

Combine like terms: 4X + X = 5X
-12 + 5X = 5(X + -5) + 13

Reorder the terms:
-12 + 5X = 5(-5 + X) + 13
-12 + 5X = (-5 * 5 + X * 5) + 13
-12 + 5X = (-25 + 5X) + 13

Reorder the terms:
-12 + 5X = -25 + 13 + 5X

Combine like terms: -25 + 13 = -12
-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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