Question

x/6 = x/8+5

How do you start off solving this equation?

Answer 1

maybe multiply both sides by 24 to clear the annoying factions

Answer 2

I would start by getting the x fractions together on the same side. Then add them.

Answer 3

So i would divide the fractions to get them all on one side?

Answer 4

I would recommend moving the x fraction on the right, to the left side. You can do this simply by subtracting the whole expression. No need to divide.

Answer 5

Do you follow?

Answer 6

Okay i kind of understand

Answer 7

So what does the equation look like after you subtract x / 8 to the right side?

Answer 8

i mean to the left side, sorry

Answer 9

i got x/2+5

Answer 10

The equation should look like this:

x / 6 - x / 8 = 5

Answer 11

I was right the first time
ugh!!

Answer 12

Now, we need a common denominator so that we can subtract them.
The least common denominator is 24, so we can rewrite the equation as:

4x / 24 - 3x /24 = 5

and now we can subtract them. So what does the equation look like after the subtraction?

Answer 13

Ok hold on

Answer 14

x/24=5

Answer 15

yup! almost done. we need x by itself, so we can multiply both sides by 24. What does the equation look like after we multiply both sides by 24?

Answer 16

x=120?

Answer 17

Perfect. Good job!

Answer 18

Wow thanks