6(x-4)+x=7(x-2)-10

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Solution for 6(x-4)+x=7(x-2)-10 equation: 


Simplifying
6(x + -4) + x = 7(x + -2) + -10

Reorder the terms:
6(-4 + x) + x = 7(x + -2) + -10
(-4 * 6 + x * 6) + x = 7(x + -2) + -10
(-24 + 6x) + x = 7(x + -2) + -10

Combine like terms: 6x + x = 7x
-24 + 7x = 7(x + -2) + -10

Reorder the terms:
-24 + 7x = 7(-2 + x) + -10
-24 + 7x = (-2 * 7 + x * 7) + -10
-24 + 7x = (-14 + 7x) + -10

Reorder the terms:
-24 + 7x = -14 + -10 + 7x

Combine like terms: -14 + -10 = -24
-24 + 7x = -24 + 7x

Add '24' to each side of the equation.
-24 + 24 + 7x = -24 + 24 + 7x

Combine like terms: -24 + 24 = 0
0 + 7x = -24 + 24 + 7x
7x = -24 + 24 + 7x

Combine like terms: -24 + 24 = 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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