Answer:
The correct answer is Option 4: 12
Step-by-step explanation:
Given equation is:
[tex]6-\frac{3}{4}x+\frac{1}{3} = \frac{1}{2}x+5[/tex]
We have to find a number that is common multiple of all the denominators or least common divisor
So to find the LCM
The numbers in denominator are: 4,3,2
So,
[tex]4=> 4,8,12,16\\3 => 3,6,9,12,15\\2=> 2,4,6,8,10,12[/tex]
It can clearly be seen that 12 is the LCM of all three numbers so the equation will be multiplied with 12 to eliminate the fractions.
[tex]12*6-12*\frac{3}{4}x+12*\frac{1}{3} =12* \frac{1}{2}x+12*5\\72-9x+4 = 6x+60[/tex]
Hence,
The correct answer is Option 4: 12
