4(x-6)+x=5(x-6)+6

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Solution for 4(x-6)+x=5(x-6)+6 equation:


Simplifying
4(x + -6) + x = 5(x + -6) + 6

Reorder the terms:
4(-6 + x) + x = 5(x + -6) + 6
(-6 * 4 + x * 4) + x = 5(x + -6) + 6
(-24 + 4x) + x = 5(x + -6) + 6

Combine like terms: 4x + x = 5x
-24 + 5x = 5(x + -6) + 6

Reorder the terms:
-24 + 5x = 5(-6 + x) + 6
-24 + 5x = (-6 * 5 + x * 5) + 6
-24 + 5x = (-30 + 5x) + 6

Reorder the terms:
-24 + 5x = -30 + 6 + 5x

Combine like terms: -30 + 6 = -24
-24 + 5x = -24 + 5x

Add '24' to each side of the equation.
-24 + 24 + 5x = -24 + 24 + 5x

Combine like terms: -24 + 24 = 0
0 + 5x = -24 + 24 + 5x
5x = -24 + 24 + 5x

Combine like terms: -24 + 24 = 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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