0.9-0.5(5-x)=5.2

Solution for 0.9-0.5(5-x)=5.2 equation:

Simplifying
0.9 + -0.5(5 + -1x) = 5.2
0.9 + (5 * -0.5 + -1x * -0.5) = 5.2
0.9 + (-2.5 + 0.5x) = 5.2

Combine like terms: 0.9 + -2.5 = -1.6
-1.6 + 0.5x = 5.2

Solving
-1.6 + 0.5x = 5.2

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.5x = 5.2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.5x = 5.2 + 1.6
0.5x = 5.2 + 1.6

Combine like terms: 5.2 + 1.6 = 6.8
0.5x = 6.8

Divide each side by '0.5'.
x = 13.6

Simplifying
x = 13.6