(3x-1)/(6) - (x+3)/(2) = (3x+4)/(3)

Question

Solve

 

3x minus 1 over 6 subtract x plus 3 over 2 equals 3x plus 4 over 3

Answer 1

Hey Sheily,

 

The first thing I notice is that every term in the equation has a denominator! If we multiply the entire equation by the LCD (lowest common denominator), we can completely eliminate all denominators and solve for x easily!

 

6* [(3x-1)/(6) - (x+3)/(2) = (3x+4)/(3)]

 

(3x-1) - 3(x+3) = 2(3x+4)

 

3x-1-3x-9 = 6x+8

 

-10 = 6x+8

 

-18 = 6x

 

-3 = x

 

 

 

I hope this helps! :)

 

Alex