2/15=20/x-8

Question

solve please show steps

Answer 1

Okay so we have (2/15) = (20)/(x-8)

 

I want to try and isolate the x-8 term so to do this I will start by multyplying both sides by it so I can get rid of it in the denominator.

 

(x-8)(2/15)=20

 

Now that its not in the denominator we can isolate it (seems easier now because no fractions)

 

x-8=20(15/2)

x-8=300/2

x-8=150

x=150+8

x=158

Answer 2

2/15 = 20/(x - 8)

 

We start with cross multiplying:

2/15 * (x - 8) = 20/(x - 8) * (x - 8)

2(x - 8) / 15 = 20

2(x - 8) = 20 * 15

2(x - 8) = 300

 

Distribute:

2x - 16 = 300

Add 16 to both sides:

2x - 16 + 16 = 300 + 16

2x = 316

 

Divide both sides by 2:

2x / 2 = 316 / 2

x = 158

 

Check:

2/15 = 20/(158 - 8)

2/15 = 20/150

2/15 = 2/15