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

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


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

Reorder the terms:
6(-2 + x) + x = 7(x + -2) + 2
(-2 * 6 + x * 6) + x = 7(x + -2) + 2
(-12 + 6x) + x = 7(x + -2) + 2

Combine like terms: 6x + x = 7x
-12 + 7x = 7(x + -2) + 2

Reorder the terms:
-12 + 7x = 7(-2 + x) + 2
-12 + 7x = (-2 * 7 + x * 7) + 2
-12 + 7x = (-14 + 7x) + 2

Reorder the terms:
-12 + 7x = -14 + 2 + 7x

Combine like terms: -14 + 2 = -12
-12 + 7x = -12 + 7x

Add '12' to each side of the equation.
-12 + 12 + 7x = -12 + 12 + 7x

Combine like terms: -12 + 12 = 0
0 + 7x = -12 + 12 + 7x
7x = -12 + 12 + 7x

Combine like terms: -12 + 12 = 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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