0.20x+0.05(6-x)=0.10(24)

Solution for 0.20x+0.05(6-x)=0.10(24) equation:

Simplifying
0.20x + 0.05(6 + -1x) = 0.10(24)
0.20x + (6 * 0.05 + -1x * 0.05) = 0.10(24)
0.20x + (0.3 + -0.05x) = 0.10(24)

Reorder the terms:
0.3 + 0.20x + -0.05x = 0.10(24)

Combine like terms: 0.20x + -0.05x = 0.15x
0.3 + 0.15x = 0.10(24)

Multiply 0.10 * 24
0.3 + 0.15x = 2.4

Solving
0.3 + 0.15x = 2.4

Solving for variable 'x'.

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

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.15x = 2.4 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.15x = 2.4 + -0.3
0.15x = 2.4 + -0.3

Combine like terms: 2.4 + -0.3 = 2.1
0.15x = 2.1

Divide each side by '0.15'.
x = 14

Simplifying
x = 14