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

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


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

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

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

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

Remove parenthesis around (-3 + x)
5 + 3x = -2 + 2x + -3 + x

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

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

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

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

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

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

Solving
5 = -5

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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