.2(x)+1(16-x)=.3(16)

Solution for .2(x)+1(16-x)=.3(16) equation:

Simplifying
0.2(x) + 1(16 + -1x) = 0.3(16)
0.2x + (16 * 1 + -1x * 1) = 0.3(16)
0.2x + (16 + -1x) = 0.3(16)

Reorder the terms:
16 + 0.2x + -1x = 0.3(16)

Combine like terms: 0.2x + -1x = -0.8x
16 + -0.8x = 0.3(16)

Multiply 0.3 * 16
16 + -0.8x = 4.8

Solving
16 + -0.8x = 4.8

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -0.8x = 4.8 + -16

Combine like terms: 16 + -16 = 0
0 + -0.8x = 4.8 + -16
-0.8x = 4.8 + -16

Combine like terms: 4.8 + -16 = -11.2
-0.8x = -11.2

Divide each side by '-0.8'.
x = 14

Simplifying
x = 14