ax+x+1=0

Solution for ax+x+1=0 equation:

Simplifying
ax + x + 1 = 0

Reorder the terms:
1 + ax + x = 0

Solving
1 + ax + x = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + ax + -1 + x = 0 + -1

Reorder the terms:
1 + -1 + ax + x = 0 + -1

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

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

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

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

Divide each side by 'x'.
a = -1x-1 + -1

Simplifying
a = -1x-1 + -1

Reorder the terms:
a = -1 + -1x-1