0.06(100-x)+0.04x=0.05(92)

Solution for 0.06(100-x)+0.04x=0.05(92) equation:

Simplifying
0.06(100 + -1x) + 0.04x = 0.05(92)
(100 * 0.06 + -1x * 0.06) + 0.04x = 0.05(92)
(6 + -0.06x) + 0.04x = 0.05(92)

Combine like terms: -0.06x + 0.04x = -0.02x
6 + -0.02x = 0.05(92)

Multiply 0.05 * 92
6 + -0.02x = 4.6

Solving
6 + -0.02x = 4.6

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -0.02x = 4.6 + -6

Combine like terms: 6 + -6 = 0
0 + -0.02x = 4.6 + -6
-0.02x = 4.6 + -6

Combine like terms: 4.6 + -6 = -1.4
-0.02x = -1.4

Divide each side by '-0.02'.
x = 70

Simplifying
x = 70