4(X-7)+X=5(X-8)+12

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Solution for 4(X-7)+X=5(X-8)+12 equation: 


Simplifying
4(X + -7) + X = 5(X + -8) + 12

Reorder the terms:
4(-7 + X) + X = 5(X + -8) + 12
(-7 * 4 + X * 4) + X = 5(X + -8) + 12
(-28 + 4X) + X = 5(X + -8) + 12

Combine like terms: 4X + X = 5X
-28 + 5X = 5(X + -8) + 12

Reorder the terms:
-28 + 5X = 5(-8 + X) + 12
-28 + 5X = (-8 * 5 + X * 5) + 12
-28 + 5X = (-40 + 5X) + 12

Reorder the terms:
-28 + 5X = -40 + 12 + 5X

Combine like terms: -40 + 12 = -28
-28 + 5X = -28 + 5X

Add '28' to each side of the equation.
-28 + 28 + 5X = -28 + 28 + 5X

Combine like terms: -28 + 28 = 0
0 + 5X = -28 + 28 + 5X
5X = -28 + 28 + 5X

Combine like terms: -28 + 28 = 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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