Question

please show me how to solve for x
(x/7)=(x/8)+(10/7)

Answer 1

Okay, so what we need to do here is make all our fractions have the same denominator first. Then we can just factor them out. 7 and 8 both multiply to 56, so we'll use that.

8x / 56 = 7x / 56 + 80 / 56.

In each case, we multiplied the denominator so it equalled 56, then multiplied the numerator by the same amount. These are still the same fractions; if I divide 8x / 56 by 8, I get x / 7 again. So I haven't really done anything, mathematically speaking. But now we can divide both sides of our equation by 56, to remove the fractions altogether.

8x = 7x + 80.

Then we just do some simple algebra, removing 7x from both sides:

x = 80.

And we're done!

Answer 2

by simplification we get
(8x/56)=(7x/56)+(80/56)
multiplying both sides by 56
8x=7x+80
adding -7x on both sides
8x-7x=7x-7x+80
x=0+80
x=80
thus the value of x is 80