.30x+.05(2-x)=.10(16)

Solution for .30x+.05(2-x)=.10(16) equation:

Simplifying
0.30x + 0.05(2 + -1x) = 0.10(16)
0.30x + (2 * 0.05 + -1x * 0.05) = 0.10(16)
0.30x + (0.1 + -0.05x) = 0.10(16)

Reorder the terms:
0.1 + 0.30x + -0.05x = 0.10(16)

Combine like terms: 0.30x + -0.05x = 0.25x
0.1 + 0.25x = 0.10(16)

Multiply 0.10 * 16
0.1 + 0.25x = 1.6

Solving
0.1 + 0.25x = 1.6

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.25x = 1.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.25x = 1.6 + -0.1
0.25x = 1.6 + -0.1

Combine like terms: 1.6 + -0.1 = 1.5
0.25x = 1.5

Divide each side by '0.25'.
x = 6

Simplifying
x = 6