.4(.1x+.9)=-.8

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Solution for .4(.1x+.9)=-.8 equation: 


Simplifying
0.4(0.1x + 0.9) = -0.8

Reorder the terms:
0.4(0.9 + 0.1x) = -0.8
(0.9 * 0.4 + 0.1x * 0.4) = -0.8
(0.36 + 0.04x) = -0.8

Solving
0.36 + 0.04x = -0.8

Solving for variable 'x'.

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

Add '-0.36' to each side of the equation.
0.36 + -0.36 + 0.04x = -0.8 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 0.04x = -0.8 + -0.36
0.04x = -0.8 + -0.36

Combine like terms: -0.8 + -0.36 = -1.16
0.04x = -1.16

Divide each side by '0.04'.
x = -29

Simplifying
x = -29

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