4(x-4)+x=5(x-6)+14

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Solution for 4(x-4)+x=5(x-6)+14 equation:


Simplifying
4(x + -4) + x = 5(x + -6) + 14

Reorder the terms:
4(-4 + x) + x = 5(x + -6) + 14
(-4 * 4 + x * 4) + x = 5(x + -6) + 14
(-16 + 4x) + x = 5(x + -6) + 14

Combine like terms: 4x + x = 5x
-16 + 5x = 5(x + -6) + 14

Reorder the terms:
-16 + 5x = 5(-6 + x) + 14
-16 + 5x = (-6 * 5 + x * 5) + 14
-16 + 5x = (-30 + 5x) + 14

Reorder the terms:
-16 + 5x = -30 + 14 + 5x

Combine like terms: -30 + 14 = -16
-16 + 5x = -16 + 5x

Add '16' to each side of the equation.
-16 + 16 + 5x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 0
0 + 5x = -16 + 16 + 5x
5x = -16 + 16 + 5x

Combine like terms: -16 + 16 = 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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