4+2=4-x+1

Solution for 4+2=4-x+1 equation:

Simplifying
4 + 2 = 4 + -1x + 1

Combine like terms: 4 + 2 = 6
6 = 4 + -1x + 1

Reorder the terms:
6 = 4 + 1 + -1x

Combine like terms: 4 + 1 = 5
6 = 5 + -1x

Solving
6 = 5 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
6 + x = 5 + -1x + x

Combine like terms: -1x + x = 0
6 + x = 5 + 0
6 + x = 5

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

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

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

Simplifying
x = -1