0.04x+0.06(100-x)=4.6

Solution for 0.04x+0.06(100-x)=4.6 equation:

Simplifying
0.04x + 0.06(100 + -1x) = 4.6
0.04x + (100 * 0.06 + -1x * 0.06) = 4.6
0.04x + (6 + -0.06x) = 4.6

Reorder the terms:
6 + 0.04x + -0.06x = 4.6

Combine like terms: 0.04x + -0.06x = -0.02x
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