0.2x+0.6(10-x)=0.38(10)

Solution for 0.2x+0.6(10-x)=0.38(10) equation:

Simplifying
0.2x + 0.6(10 + -1x) = 0.38(10)
0.2x + (10 * 0.6 + -1x * 0.6) = 0.38(10)
0.2x + (6 + -0.6x) = 0.38(10)

Reorder the terms:
6 + 0.2x + -0.6x = 0.38(10)

Combine like terms: 0.2x + -0.6x = -0.4x
6 + -0.4x = 0.38(10)

Multiply 0.38 * 10
6 + -0.4x = 3.8

Solving
6 + -0.4x = 3.8

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 + -0.4x = 3.8 + -6

Combine like terms: 6 + -6 = 0
0 + -0.4x = 3.8 + -6
-0.4x = 3.8 + -6

Combine like terms: 3.8 + -6 = -2.2
-0.4x = -2.2

Divide each side by '-0.4'.
x = 5.5

Simplifying
x = 5.5