0.1x+0.6(100-x)=0.5(100)

Solution for 0.1x+0.6(100-x)=0.5(100) equation:

Simplifying
0.1x + 0.6(100 + -1x) = 0.5(100)
0.1x + (100 * 0.6 + -1x * 0.6) = 0.5(100)
0.1x + (60 + -0.6x) = 0.5(100)

Reorder the terms:
60 + 0.1x + -0.6x = 0.5(100)

Combine like terms: 0.1x + -0.6x = -0.5x
60 + -0.5x = 0.5(100)

Multiply 0.5 * 100
60 + -0.5x = 50

Solving
60 + -0.5x = 50

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + -0.5x = 50 + -60

Combine like terms: 60 + -60 = 0
0 + -0.5x = 50 + -60
-0.5x = 50 + -60

Combine like terms: 50 + -60 = -10
-0.5x = -10

Divide each side by '-0.5'.
x = 20

Simplifying
x = 20