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

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


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

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

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

Combine like terms: 5x + -3x = 2x
3 + 2x = 2(x + 3) + -5

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

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

Combine like terms: 6 + -5 = 1
3 + 2x = 1 + 2x

Add '-2x' to each side of the equation.
3 + 2x + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 0 = 1 + 2x + -2x
3 = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 = 1 + 0
3 = 1

Solving
3 = 1

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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