0.55x+.05(4-x)=.10(52)

Solution for 0.55x+.05(4-x)=.10(52) equation:

Simplifying
0.55x + 0.05(4 + -1x) = 0.10(52)
0.55x + (4 * 0.05 + -1x * 0.05) = 0.10(52)
0.55x + (0.2 + -0.05x) = 0.10(52)

Reorder the terms:
0.2 + 0.55x + -0.05x = 0.10(52)

Combine like terms: 0.55x + -0.05x = 0.5x
0.2 + 0.5x = 0.10(52)

Multiply 0.10 * 52
0.2 + 0.5x = 5.2

Solving
0.2 + 0.5x = 5.2

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.5x = 5.2 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.5x = 5.2 + -0.2
0.5x = 5.2 + -0.2

Combine like terms: 5.2 + -0.2 = 5
0.5x = 5

Divide each side by '0.5'.
x = 10

Simplifying
x = 10