.55x+.05(12-x)=.10(16)

Solution for .55x+.05(12-x)=.10(16) equation:

Simplifying
0.55x + 0.05(12 + -1x) = 0.10(16)
0.55x + (12 * 0.05 + -1x * 0.05) = 0.10(16)
0.55x + (0.6 + -0.05x) = 0.10(16)

Reorder the terms:
0.6 + 0.55x + -0.05x = 0.10(16)

Combine like terms: 0.55x + -0.05x = 0.5x
0.6 + 0.5x = 0.10(16)

Multiply 0.10 * 16
0.6 + 0.5x = 1.6

Solving
0.6 + 0.5x = 1.6

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.5x = 1.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.5x = 1.6 + -0.6
0.5x = 1.6 + -0.6

Combine like terms: 1.6 + -0.6 = 1
0.5x = 1

Divide each side by '0.5'.
x = 2

Simplifying
x = 2