2(x-3)=2x-6

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Solution for 2(x-3)=2x-6 equation:


Simplifying
2(x + -3) = 2x + -6

Reorder the terms:
2(-3 + x) = 2x + -6
(-3 * 2 + x * 2) = 2x + -6
(-6 + 2x) = 2x + -6

Reorder the terms:
-6 + 2x = -6 + 2x

Add '6' to each side of the equation.
-6 + 6 + 2x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0
0 + 2x = -6 + 6 + 2x
2x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0
2x = 0 + 2x
2x = 2x

Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 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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