0.3x+0.6(10-x)=0.50(10)

Solution for 0.3x+0.6(10-x)=0.50(10) equation:

Simplifying
0.3x + 0.6(10 + -1x) = 0.50(10)
0.3x + (10 * 0.6 + -1x * 0.6) = 0.50(10)
0.3x + (6 + -0.6x) = 0.50(10)

Reorder the terms:
6 + 0.3x + -0.6x = 0.50(10)

Combine like terms: 0.3x + -0.6x = -0.3x
6 + -0.3x = 0.50(10)

Multiply 0.50 * 10
6 + -0.3x = 5

Solving
6 + -0.3x = 5

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 + -0.3x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.3x = 5 + -6
-0.3x = 5 + -6

Combine like terms: 5 + -6 = -1
-0.3x = -1

Divide each side by '-0.3'.
x = 3.333333333

Simplifying
x = 3.333333333