0.85x+.05(12-x)=.10(54)

Solution for 0.85x+.05(12-x)=.10(54) equation:

Simplifying
0.85x + 0.05(12 + -1x) = 0.10(54)
0.85x + (12 * 0.05 + -1x * 0.05) = 0.10(54)
0.85x + (0.6 + -0.05x) = 0.10(54)

Reorder the terms:
0.6 + 0.85x + -0.05x = 0.10(54)

Combine like terms: 0.85x + -0.05x = 0.8x
0.6 + 0.8x = 0.10(54)

Multiply 0.10 * 54
0.6 + 0.8x = 5.4

Solving
0.6 + 0.8x = 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 + 0.8x = 5.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8x = 5.4 + -0.6
0.8x = 5.4 + -0.6

Combine like terms: 5.4 + -0.6 = 4.8
0.8x = 4.8

Divide each side by '0.8'.
x = 6

Simplifying
x = 6