3x-2=x+2(x-1)

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Solution for 3x-2=x+2(x-1) equation:


Simplifying
3x + -2 = x + 2(x + -1)

Reorder the terms:
-2 + 3x = x + 2(x + -1)

Reorder the terms:
-2 + 3x = x + 2(-1 + x)
-2 + 3x = x + (-1 * 2 + x * 2)
-2 + 3x = x + (-2 + 2x)

Reorder the terms:
-2 + 3x = -2 + x + 2x

Combine like terms: x + 2x = 3x
-2 + 3x = -2 + 3x

Add '2' to each side of the equation.
-2 + 2 + 3x = -2 + 2 + 3x

Combine like terms: -2 + 2 = 0
0 + 3x = -2 + 2 + 3x
3x = -2 + 2 + 3x

Combine like terms: -2 + 2 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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