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

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

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

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

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

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

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

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

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

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

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

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

Solving
6 = 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.