0.06(x)+0.15(30-x)=0.12(30)

Solution for 0.06(x)+0.15(30-x)=0.12(30) equation:

Simplifying
0.06(x) + 0.15(30 + -1x) = 0.12(30)
0.06x + (30 * 0.15 + -1x * 0.15) = 0.12(30)
0.06x + (4.5 + -0.15x) = 0.12(30)

Reorder the terms:
4.5 + 0.06x + -0.15x = 0.12(30)

Combine like terms: 0.06x + -0.15x = -0.09x
4.5 + -0.09x = 0.12(30)

Multiply 0.12 * 30
4.5 + -0.09x = 3.6

Solving
4.5 + -0.09x = 3.6

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.09x = 3.6 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.09x = 3.6 + -4.5
-0.09x = 3.6 + -4.5

Combine like terms: 3.6 + -4.5 = -0.9
-0.09x = -0.9

Divide each side by '-0.09'.
x = 10

Simplifying
x = 10