5(X-6)+X=6(X-7)+12

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Solution for 5(X-6)+X=6(X-7)+12 equation: 


Simplifying
5(X + -6) + X = 6(X + -7) + 12

Reorder the terms:
5(-6 + X) + X = 6(X + -7) + 12
(-6 * 5 + X * 5) + X = 6(X + -7) + 12
(-30 + 5X) + X = 6(X + -7) + 12

Combine like terms: 5X + X = 6X
-30 + 6X = 6(X + -7) + 12

Reorder the terms:
-30 + 6X = 6(-7 + X) + 12
-30 + 6X = (-7 * 6 + X * 6) + 12
-30 + 6X = (-42 + 6X) + 12

Reorder the terms:
-30 + 6X = -42 + 12 + 6X

Combine like terms: -42 + 12 = -30
-30 + 6X = -30 + 6X

Add '30' to each side of the equation.
-30 + 30 + 6X = -30 + 30 + 6X

Combine like terms: -30 + 30 = 0
0 + 6X = -30 + 30 + 6X
6X = -30 + 30 + 6X

Combine like terms: -30 + 30 = 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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