.45x+.05(12-x)=.10(54)

Solution for .45x+.05(12-x)=.10(54) equation:

Simplifying
0.45x + 0.05(12 + -1x) = 0.10(54)
0.45x + (12 * 0.05 + -1x * 0.05) = 0.10(54)
0.45x + (0.6 + -0.05x) = 0.10(54)

Reorder the terms:
0.6 + 0.45x + -0.05x = 0.10(54)

Combine like terms: 0.45x + -0.05x = 0.4x
0.6 + 0.4x = 0.10(54)

Multiply 0.10 * 54
0.6 + 0.4x = 5.4

Solving
0.6 + 0.4x = 5.4

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 + 0.4x = 5.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.4x = 5.4 + -0.6
0.4x = 5.4 + -0.6

Combine like terms: 5.4 + -0.6 = 4.8
0.4x = 4.8

Divide each side by '0.4'.
x = 12

Simplifying
x = 12