6(x-9)+x=7(x-8)+2

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Solution for 6(x-9)+x=7(x-8)+2 equation: 


Simplifying
6(x + -9) + x = 7(x + -8) + 2

Reorder the terms:
6(-9 + x) + x = 7(x + -8) + 2
(-9 * 6 + x * 6) + x = 7(x + -8) + 2
(-54 + 6x) + x = 7(x + -8) + 2

Combine like terms: 6x + x = 7x
-54 + 7x = 7(x + -8) + 2

Reorder the terms:
-54 + 7x = 7(-8 + x) + 2
-54 + 7x = (-8 * 7 + x * 7) + 2
-54 + 7x = (-56 + 7x) + 2

Reorder the terms:
-54 + 7x = -56 + 2 + 7x

Combine like terms: -56 + 2 = -54
-54 + 7x = -54 + 7x

Add '54' to each side of the equation.
-54 + 54 + 7x = -54 + 54 + 7x

Combine like terms: -54 + 54 = 0
0 + 7x = -54 + 54 + 7x
7x = -54 + 54 + 7x

Combine like terms: -54 + 54 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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