0.1(x-0.2)-(x+0.5)=

Solution for 0.1(x-0.2)-(x+0.5)= equation:

Simplifying
0.1(x + -0.2) + -1(x + 0.5) = 0

Reorder the terms:
0.1(-0.2 + x) + -1(x + 0.5) = 0
(-0.2 * 0.1 + x * 0.1) + -1(x + 0.5) = 0
(-0.02 + 0.1x) + -1(x + 0.5) = 0

Reorder the terms:
-0.02 + 0.1x + -1(0.5 + x) = 0
-0.02 + 0.1x + (0.5 * -1 + x * -1) = 0
-0.02 + 0.1x + (-0.5 + -1x) = 0

Reorder the terms:
-0.02 + -0.5 + 0.1x + -1x = 0

Combine like terms: -0.02 + -0.5 = -0.52
-0.52 + 0.1x + -1x = 0

Combine like terms: 0.1x + -1x = -0.9x
-0.52 + -0.9x = 0

Solving
-0.52 + -0.9x = 0

Solving for variable 'x'.

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

Add '0.52' to each side of the equation.
-0.52 + 0.52 + -0.9x = 0 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + -0.9x = 0 + 0.52
-0.9x = 0 + 0.52

Combine like terms: 0 + 0.52 = 0.52
-0.9x = 0.52

Divide each side by '-0.9'.
x = -0.5777777778

Simplifying
x = -0.5777777778