.30(x)+.13(x+50)=.20(x+50)

Solution for .30(x)+.13(x+50)=.20(x+50) equation:

Simplifying
0.30(x) + 0.13(x + 50) = 0.20(x + 50)

Reorder the terms:
0.30x + 0.13(50 + x) = 0.20(x + 50)
0.30x + (50 * 0.13 + x * 0.13) = 0.20(x + 50)
0.30x + (6.5 + 0.13x) = 0.20(x + 50)

Reorder the terms:
6.5 + 0.30x + 0.13x = 0.20(x + 50)

Combine like terms: 0.30x + 0.13x = 0.43x
6.5 + 0.43x = 0.20(x + 50)

Reorder the terms:
6.5 + 0.43x = 0.20(50 + x)
6.5 + 0.43x = (50 * 0.20 + x * 0.20)
6.5 + 0.43x = (10 + 0.20x)

Solving
6.5 + 0.43x = 10 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
6.5 + 0.43x + -0.20x = 10 + 0.20x + -0.20x

Combine like terms: 0.43x + -0.20x = 0.23x
6.5 + 0.23x = 10 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
6.5 + 0.23x = 10 + 0.00
6.5 + 0.23x = 10

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.23x = 10 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.23x = 10 + -6.5
0.23x = 10 + -6.5

Combine like terms: 10 + -6.5 = 3.5
0.23x = 3.5

Divide each side by '0.23'.
x = 15.2173913

Simplifying
x = 15.2173913