Simplifying
46 = 47 + -1x

Solving
46 = 47 + -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.
46 + x = 47 + -1x + x

Combine like terms: -1x + x = 0
46 + x = 47 + 0
46 + x = 47

Add '-46' to each side of the equation.
46 + -46 + x = 47 + -46

Combine like terms: 46 + -46 = 0
0 + x = 47 + -46
x = 47 + -46

Combine like terms: 47 + -46 = 1
x = 1

Simplifying
x = 1