0.9x-0.3(6-x)=3.6

Solution for 0.9x-0.3(6-x)=3.6 equation:

Simplifying
0.9x + -0.3(6 + -1x) = 3.6
0.9x + (6 * -0.3 + -1x * -0.3) = 3.6
0.9x + (-1.8 + 0.3x) = 3.6

Reorder the terms:
-1.8 + 0.9x + 0.3x = 3.6

Combine like terms: 0.9x + 0.3x = 1.2x
-1.8 + 1.2x = 3.6

Solving
-1.8 + 1.2x = 3.6

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.2x = 3.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.2x = 3.6 + 1.8
1.2x = 3.6 + 1.8

Combine like terms: 3.6 + 1.8 = 5.4
1.2x = 5.4

Divide each side by '1.2'.
x = 4.5

Simplifying
x = 4.5