0.55x-0.05(20-x)=0.10(50)

Solution for 0.55x-0.05(20-x)=0.10(50) equation:

Simplifying
0.55x + -0.05(20 + -1x) = 0.10(50)
0.55x + (20 * -0.05 + -1x * -0.05) = 0.10(50)
0.55x + (-1 + 0.05x) = 0.10(50)

Reorder the terms:
-1 + 0.55x + 0.05x = 0.10(50)

Combine like terms: 0.55x + 0.05x = 0.6x
-1 + 0.6x = 0.10(50)

Multiply 0.10 * 50
-1 + 0.6x = 5

Solving
-1 + 0.6x = 5

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 0.6x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 0.6x = 5 + 1
0.6x = 5 + 1

Combine like terms: 5 + 1 = 6
0.6x = 6

Divide each side by '0.6'.
x = 10

Simplifying
x = 10