x+1=-0.8x

Solution for x+1=-0.8x equation:

Simplifying
x + 1 = -0.8x

Reorder the terms:
1 + x = -0.8x

Solving
1 + x = -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
1 + x + 0.8x = -0.8x + 0.8x

Combine like terms: x + 0.8x = 1.8x
1 + 1.8x = -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
1 + 1.8x = 0.0

Add '-1' to each side of the equation.
1 + -1 + 1.8x = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.8x = 0.0 + -1
1.8x = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
1.8x = -1

Divide each side by '1.8'.
x = -0.5555555556

Simplifying
x = -0.5555555556