needing help with solving equations with fractions

[angelasullivan]

I have to solve this equation:

. . .(x + 1) / 3 + (x + 2) / 7 = 2

It's been a long time since I last did algebra, so I could use some help in figuring this out. Thank you for your help!

 

[galactus]

You do these like any other fraction.

You could multiply by the common denominator, that would be 21.
because 7*3=21

\(\displaystyle \L\\21\cdot\frac{x+1}{3}+21\cdot\frac{x+2}{7}=21(2)\)

\(\displaystyle \L\\7(x+1)+3(x+2)=42\)

 

[angelasullivan]

Thank you so much for your help. That makes since. I guess with the one number being on the bottom through me for a loop!