0.09x+0.05(12-x)=0.10(159)

Solution for 0.09x+0.05(12-x)=0.10(159) equation:

Simplifying
0.09x + 0.05(12 + -1x) = 0.10(159)
0.09x + (12 * 0.05 + -1x * 0.05) = 0.10(159)
0.09x + (0.6 + -0.05x) = 0.10(159)

Reorder the terms:
0.6 + 0.09x + -0.05x = 0.10(159)

Combine like terms: 0.09x + -0.05x = 0.04x
0.6 + 0.04x = 0.10(159)

Multiply 0.10 * 159
0.6 + 0.04x = 15.9

Solving
0.6 + 0.04x = 15.9

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 + 0.04x = 15.9 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.04x = 15.9 + -0.6
0.04x = 15.9 + -0.6

Combine like terms: 15.9 + -0.6 = 15.3
0.04x = 15.3

Divide each side by '0.04'.
x = 382.5

Simplifying
x = 382.5