0.30x+0.05(20-x)=0.10(30)

Solution for 0.30x+0.05(20-x)=0.10(30) equation:

Simplifying
0.30x + 0.05(20 + -1x) = 0.10(30)
0.30x + (20 * 0.05 + -1x * 0.05) = 0.10(30)
0.30x + (1 + -0.05x) = 0.10(30)

Reorder the terms:
1 + 0.30x + -0.05x = 0.10(30)

Combine like terms: 0.30x + -0.05x = 0.25x
1 + 0.25x = 0.10(30)

Multiply 0.10 * 30
1 + 0.25x = 3

Solving
1 + 0.25x = 3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.25x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 0.25x = 3 + -1
0.25x = 3 + -1

Combine like terms: 3 + -1 = 2
0.25x = 2

Divide each side by '0.25'.
x = 8

Simplifying
x = 8