0.01(x+50)+0.03(x-20)=4.06

Solution for 0.01(x+50)+0.03(x-20)=4.06 equation:

Simplifying
0.01(x + 50) + 0.03(x + -20) = 4.06

Reorder the terms:
0.01(50 + x) + 0.03(x + -20) = 4.06
(50 * 0.01 + x * 0.01) + 0.03(x + -20) = 4.06
(0.5 + 0.01x) + 0.03(x + -20) = 4.06

Reorder the terms:
0.5 + 0.01x + 0.03(-20 + x) = 4.06
0.5 + 0.01x + (-20 * 0.03 + x * 0.03) = 4.06
0.5 + 0.01x + (-0.6 + 0.03x) = 4.06

Reorder the terms:
0.5 + -0.6 + 0.01x + 0.03x = 4.06

Combine like terms: 0.5 + -0.6 = -0.1
-0.1 + 0.01x + 0.03x = 4.06

Combine like terms: 0.01x + 0.03x = 0.04x
-0.1 + 0.04x = 4.06

Solving
-0.1 + 0.04x = 4.06

Solving for variable 'x'.

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.04x = 4.06 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.04x = 4.06 + 0.1
0.04x = 4.06 + 0.1

Combine like terms: 4.06 + 0.1 = 4.16
0.04x = 4.16

Divide each side by '0.04'.
x = 104

Simplifying
x = 104