0.05x+0.15(50-x)=5.50

Solution for 0.05x+0.15(50-x)=5.50 equation:

Simplifying
0.05x + 0.15(50 + -1x) = 5.50
0.05x + (50 * 0.15 + -1x * 0.15) = 5.50
0.05x + (7.5 + -0.15x) = 5.50

Reorder the terms:
7.5 + 0.05x + -0.15x = 5.50

Combine like terms: 0.05x + -0.15x = -0.1x
7.5 + -0.1x = 5.50

Solving
7.5 + -0.1x = 5.50

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -0.1x = 5.50 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.1x = 5.50 + -7.5
-0.1x = 5.50 + -7.5

Combine like terms: 5.50 + -7.5 = -2
-0.1x = -2

Divide each side by '-0.1'.
x = 20

Simplifying
x = 20