.1x+.18(5-x)=.6

Solution for .1x+.18(5-x)=.6 equation:

Simplifying
0.1x + 0.18(5 + -1x) = 0.6
0.1x + (5 * 0.18 + -1x * 0.18) = 0.6
0.1x + (0.9 + -0.18x) = 0.6

Reorder the terms:
0.9 + 0.1x + -0.18x = 0.6

Combine like terms: 0.1x + -0.18x = -0.08x
0.9 + -0.08x = 0.6

Solving
0.9 + -0.08x = 0.6

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.08x = 0.6 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.08x = 0.6 + -0.9
-0.08x = 0.6 + -0.9

Combine like terms: 0.6 + -0.9 = -0.3
-0.08x = -0.3

Divide each side by '-0.08'.
x = 3.75

Simplifying
x = 3.75