.8(.1x+.9)=-.8

Solution for .8(.1x+.9)=-.8 equation:

Simplifying
0.8(0.1x + 0.9) = -0.8

Reorder the terms:
0.8(0.9 + 0.1x) = -0.8
(0.9 * 0.8 + 0.1x * 0.8) = -0.8
(0.72 + 0.08x) = -0.8

Solving
0.72 + 0.08x = -0.8

Solving for variable 'x'.

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

Add '-0.72' to each side of the equation.
0.72 + -0.72 + 0.08x = -0.8 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + 0.08x = -0.8 + -0.72
0.08x = -0.8 + -0.72

Combine like terms: -0.8 + -0.72 = -1.52
0.08x = -1.52

Divide each side by '0.08'.
x = -19

Simplifying
x = -19