-7(0.1x-0.2)-0.9=-0.2

Solution for -7(0.1x-0.2)-0.9=-0.2 equation:

Simplifying
-7(0.1x + -0.2) + -0.9 = -0.2

Reorder the terms:
-7(-0.2 + 0.1x) + -0.9 = -0.2
(-0.2 * -7 + 0.1x * -7) + -0.9 = -0.2
(1.4 + -0.7x) + -0.9 = -0.2

Reorder the terms:
1.4 + -0.9 + -0.7x = -0.2

Combine like terms: 1.4 + -0.9 = 0.5
0.5 + -0.7x = -0.2

Solving
0.5 + -0.7x = -0.2

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.7x = -0.2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.7x = -0.2 + -0.5
-0.7x = -0.2 + -0.5

Combine like terms: -0.2 + -0.5 = -0.7
-0.7x = -0.7

Divide each side by '-0.7'.
x = 1

Simplifying
x = 1