How do you solve \frac{2x-1}{5}=\frac{3x+1}{8}?

1 Answer
Oct 20, 2016

x=13

Explanation:

Because this is a proportion, you cross multiply

8(2x-1)

and

5(3x+1)

Then, set them equal to each other

8(2x-1)=5(3x+1)

Distribute the 8 through the left set of parenthesis and the 5 through the second set of parenthesis

16x-8=15x+5

Add 8 on both sides of the equation

16x=15x+13

Subtract 15x on both sides of the equation

x=13