2(x+3)=5x-3(x-1)

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Solution for 2(x+3)=5x-3(x-1) equation:


Simplifying
2(x + 3) = 5x + -3(x + -1)

Reorder the terms:
2(3 + x) = 5x + -3(x + -1)
(3 * 2 + x * 2) = 5x + -3(x + -1)
(6 + 2x) = 5x + -3(x + -1)

Reorder the terms:
6 + 2x = 5x + -3(-1 + x)
6 + 2x = 5x + (-1 * -3 + x * -3)
6 + 2x = 5x + (3 + -3x)

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

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

Add '-2x' to each side of the equation.
6 + 2x + -2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 0 = 3 + 2x + -2x
6 = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 = 3 + 0
6 = 3

Solving
6 = 3

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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