5(x-9)+x=6(x-8)+3

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Solution for 5(x-9)+x=6(x-8)+3 equation: 


Simplifying
5(x + -9) + x = 6(x + -8) + 3

Reorder the terms:
5(-9 + x) + x = 6(x + -8) + 3
(-9 * 5 + x * 5) + x = 6(x + -8) + 3
(-45 + 5x) + x = 6(x + -8) + 3

Combine like terms: 5x + x = 6x
-45 + 6x = 6(x + -8) + 3

Reorder the terms:
-45 + 6x = 6(-8 + x) + 3
-45 + 6x = (-8 * 6 + x * 6) + 3
-45 + 6x = (-48 + 6x) + 3

Reorder the terms:
-45 + 6x = -48 + 3 + 6x

Combine like terms: -48 + 3 = -45
-45 + 6x = -45 + 6x

Add '45' to each side of the equation.
-45 + 45 + 6x = -45 + 45 + 6x

Combine like terms: -45 + 45 = 0
0 + 6x = -45 + 45 + 6x
6x = -45 + 45 + 6x

Combine like terms: -45 + 45 = 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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