0.75x+0.2(8.0-x)=20

Solution for 0.75x+0.2(8.0-x)=20 equation:

Simplifying
0.75x + 0.2(8.0 + -1x) = 20
0.75x + (8.0 * 0.2 + -1x * 0.2) = 20
0.75x + (1.6 + -0.2x) = 20

Reorder the terms:
1.6 + 0.75x + -0.2x = 20

Combine like terms: 0.75x + -0.2x = 0.55x
1.6 + 0.55x = 20

Solving
1.6 + 0.55x = 20

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 + 0.55x = 20 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.55x = 20 + -1.6
0.55x = 20 + -1.6

Combine like terms: 20 + -1.6 = 18.4
0.55x = 18.4

Divide each side by '0.55'.
x = 33.45454545

Simplifying
x = 33.45454545