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

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


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

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

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

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

Reorder the terms:
-2 + 3x = 3(-3 + x)
-2 + 3x = (-3 * 3 + x * 3)
-2 + 3x = (-9 + 3x)

Add '-3x' to each side of the equation.
-2 + 3x + -3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 0 = -9 + 3x + -3x
-2 = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 = -9 + 0
-2 = -9

Solving
-2 = -9

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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