0.90x+0.05(12-x)=0.10(108)

Solution for 0.90x+0.05(12-x)=0.10(108) equation:

Simplifying
0.90x + 0.05(12 + -1x) = 0.10(108)
0.90x + (12 * 0.05 + -1x * 0.05) = 0.10(108)
0.90x + (0.6 + -0.05x) = 0.10(108)

Reorder the terms:
0.6 + 0.90x + -0.05x = 0.10(108)

Combine like terms: 0.90x + -0.05x = 0.85x
0.6 + 0.85x = 0.10(108)

Multiply 0.10 * 108
0.6 + 0.85x = 10.8

Solving
0.6 + 0.85x = 10.8

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 + 0.85x = 10.8 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.85x = 10.8 + -0.6
0.85x = 10.8 + -0.6

Combine like terms: 10.8 + -0.6 = 10.2
0.85x = 10.2

Divide each side by '0.85'.
x = 12

Simplifying
x = 12