x+6=46-x

Solution for x+6=46-x equation:

Simplifying
x + 6 = 46 + -1x

Reorder the terms:
6 + x = 46 + -1x

Solving
6 + x = 46 + -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 + x = 46 + -1x + x

Combine like terms: x + x = 2x
6 + 2x = 46 + -1x + x

Combine like terms: -1x + x = 0
6 + 2x = 46 + 0
6 + 2x = 46

Add '-6' to each side of the equation.
6 + -6 + 2x = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 46 + -6
2x = 46 + -6

Combine like terms: 46 + -6 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20