3+(x-3)=x+1

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

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

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

Remove parenthesis around (-3 + x)
3 + -3 + x = x + 1

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

Reorder the terms:
x = 1 + x

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

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

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

Solving
0 = 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.