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

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


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

Reorder the terms:
2(-5 + 3x) + -1x + -1(2x + -3) = 3x + 1
(-5 * 2 + 3x * 2) + -1x + -1(2x + -3) = 3x + 1
(-10 + 6x) + -1x + -1(2x + -3) = 3x + 1

Reorder the terms:
-10 + 6x + -1x + -1(-3 + 2x) = 3x + 1
-10 + 6x + -1x + (-3 * -1 + 2x * -1) = 3x + 1
-10 + 6x + -1x + (3 + -2x) = 3x + 1

Reorder the terms:
-10 + 3 + 6x + -1x + -2x = 3x + 1

Combine like terms: -10 + 3 = -7
-7 + 6x + -1x + -2x = 3x + 1

Combine like terms: 6x + -1x = 5x
-7 + 5x + -2x = 3x + 1

Combine like terms: 5x + -2x = 3x
-7 + 3x = 3x + 1

Reorder the terms:
-7 + 3x = 1 + 3x

Add '-3x' to each side of the equation.
-7 + 3x + -3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 0 = 1 + 3x + -3x
-7 = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 = 1 + 0
-7 = 1

Solving
-7 = 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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