3x-5=5x-2(x-3)

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Solution for 3x-5=5x-2(x-3) equation:


Simplifying
3x + -5 = 5x + -2(x + -3)

Reorder the terms:
-5 + 3x = 5x + -2(x + -3)

Reorder the terms:
-5 + 3x = 5x + -2(-3 + x)
-5 + 3x = 5x + (-3 * -2 + x * -2)
-5 + 3x = 5x + (6 + -2x)

Reorder the terms:
-5 + 3x = 6 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-5 + 3x = 6 + 3x

Add '-3x' to each side of the equation.
-5 + 3x + -3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 0 = 6 + 3x + -3x
-5 = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 = 6 + 0
-5 = 6

Solving
-5 = 6

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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