5(x-8)+x=6(x-9)+14

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Solution for 5(x-8)+x=6(x-9)+14 equation:


Simplifying
5(x + -8) + x = 6(x + -9) + 14

Reorder the terms:
5(-8 + x) + x = 6(x + -9) + 14
(-8 * 5 + x * 5) + x = 6(x + -9) + 14
(-40 + 5x) + x = 6(x + -9) + 14

Combine like terms: 5x + x = 6x
-40 + 6x = 6(x + -9) + 14

Reorder the terms:
-40 + 6x = 6(-9 + x) + 14
-40 + 6x = (-9 * 6 + x * 6) + 14
-40 + 6x = (-54 + 6x) + 14

Reorder the terms:
-40 + 6x = -54 + 14 + 6x

Combine like terms: -54 + 14 = -40
-40 + 6x = -40 + 6x

Add '40' to each side of the equation.
-40 + 40 + 6x = -40 + 40 + 6x

Combine like terms: -40 + 40 = 0
0 + 6x = -40 + 40 + 6x
6x = -40 + 40 + 6x

Combine like terms: -40 + 40 = 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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