x+.30(20-x)=0.50(20)

Solution for x+.30(20-x)=0.50(20) equation:

Simplifying
x + 0.30(20 + -1x) = 0.50(20)
x + (20 * 0.30 + -1x * 0.30) = 0.50(20)
x + (6 + -0.3x) = 0.50(20)

Reorder the terms:
6 + x + -0.3x = 0.50(20)

Combine like terms: x + -0.3x = 0.7x
6 + 0.7x = 0.50(20)

Multiply 0.50 * 20
6 + 0.7x = 10

Solving
6 + 0.7x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.7x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 0.7x = 10 + -6
0.7x = 10 + -6

Combine like terms: 10 + -6 = 4
0.7x = 4

Divide each side by '0.7'.
x = 5.714285714

Simplifying
x = 5.714285714