0.50x+0.05(4-x)=0.10(83)

Solution for 0.50x+0.05(4-x)=0.10(83) equation:

Simplifying
0.50x + 0.05(4 + -1x) = 0.10(83)
0.50x + (4 * 0.05 + -1x * 0.05) = 0.10(83)
0.50x + (0.2 + -0.05x) = 0.10(83)

Reorder the terms:
0.2 + 0.50x + -0.05x = 0.10(83)

Combine like terms: 0.50x + -0.05x = 0.45x
0.2 + 0.45x = 0.10(83)

Multiply 0.10 * 83
0.2 + 0.45x = 8.3

Solving
0.2 + 0.45x = 8.3

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 + 0.45x = 8.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.45x = 8.3 + -0.2
0.45x = 8.3 + -0.2

Combine like terms: 8.3 + -0.2 = 8.1
0.45x = 8.1

Divide each side by '0.45'.
x = 18

Simplifying
x = 18