0.90x+0.05(4-x)=0.10(104)

Solution for 0.90x+0.05(4-x)=0.10(104) equation:

Simplifying
0.90x + 0.05(4 + -1x) = 0.10(104)
0.90x + (4 * 0.05 + -1x * 0.05) = 0.10(104)
0.90x + (0.2 + -0.05x) = 0.10(104)

Reorder the terms:
0.2 + 0.90x + -0.05x = 0.10(104)

Combine like terms: 0.90x + -0.05x = 0.85x
0.2 + 0.85x = 0.10(104)

Multiply 0.10 * 104
0.2 + 0.85x = 10.4

Solving
0.2 + 0.85x = 10.4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.85x = 10.4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.85x = 10.4 + -0.2
0.85x = 10.4 + -0.2

Combine like terms: 10.4 + -0.2 = 10.2
0.85x = 10.2

Divide each side by '0.85'.
x = 12

Simplifying
x = 12