Apply the distributive property to factor out the greatest common factor. 30+42= 30, plus, 42, equals

Hello mate!

here we have the sum 30 + 42, and we want to factor the greatest common factor between 30 and 42.

We can try to go one for one, the biggest divisor of 30 is 15 (15*2 = 30), and 15 is not a divisor of 42, so this is not a common divisor of 30 and 42.

The second biggest divisor of 30 is 10 (10*3 = 30), and 10 is not a divisor of 42, so it is not a common divisor of 30 and 42.

the third biggest divisor of 30 is 6, (6*5 = 30) and 6 is a divisor of 42 (6*7 = 42)

then 6 is the biggest common factor of both 30 and 42

Now we can factor the sum as:

30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

hope this is what you were asking for!

step-by-step explanation: