0.50x+0.05(12-x)=0.10(33)

Solution for 0.50x+0.05(12-x)=0.10(33) equation:

Simplifying
0.50x + 0.05(12 + -1x) = 0.10(33)
0.50x + (12 * 0.05 + -1x * 0.05) = 0.10(33)
0.50x + (0.6 + -0.05x) = 0.10(33)

Reorder the terms:
0.6 + 0.50x + -0.05x = 0.10(33)

Combine like terms: 0.50x + -0.05x = 0.45x
0.6 + 0.45x = 0.10(33)

Multiply 0.10 * 33
0.6 + 0.45x = 3.3

Solving
0.6 + 0.45x = 3.3

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 + 0.45x = 3.3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.45x = 3.3 + -0.6
0.45x = 3.3 + -0.6

Combine like terms: 3.3 + -0.6 = 2.7
0.45x = 2.7

Divide each side by '0.45'.
x = 6

Simplifying
x = 6