0.20x+.05(6-x)=.10(21)

Solution for 0.20x+.05(6-x)=.10(21) equation:

Simplifying
0.20x + 0.05(6 + -1x) = 0.10(21)
0.20x + (6 * 0.05 + -1x * 0.05) = 0.10(21)
0.20x + (0.3 + -0.05x) = 0.10(21)

Reorder the terms:
0.3 + 0.20x + -0.05x = 0.10(21)

Combine like terms: 0.20x + -0.05x = 0.15x
0.3 + 0.15x = 0.10(21)

Multiply 0.10 * 21
0.3 + 0.15x = 2.1

Solving
0.3 + 0.15x = 2.1

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 = 2.1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.15x = 2.1 + -0.3
0.15x = 2.1 + -0.3

Combine like terms: 2.1 + -0.3 = 1.8
0.15x = 1.8

Divide each side by '0.15'.
x = 12

Simplifying
x = 12