0.40x+0.05(12-x)=0.10(55)

Solution for 0.40x+0.05(12-x)=0.10(55) equation:

Simplifying
0.40x + 0.05(12 + -1x) = 0.10(55)
0.40x + (12 * 0.05 + -1x * 0.05) = 0.10(55)
0.40x + (0.6 + -0.05x) = 0.10(55)

Reorder the terms:
0.6 + 0.40x + -0.05x = 0.10(55)

Combine like terms: 0.40x + -0.05x = 0.35x
0.6 + 0.35x = 0.10(55)

Multiply 0.10 * 55
0.6 + 0.35x = 5.5

Solving
0.6 + 0.35x = 5.5

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 + 0.35x = 5.5 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.35x = 5.5 + -0.6
0.35x = 5.5 + -0.6

Combine like terms: 5.5 + -0.6 = 4.9
0.35x = 4.9

Divide each side by '0.35'.
x = 14

Simplifying
x = 14