Answer: 9x - 36 = 10
Step-by-step explanation:
To rewrite the equation without fractions, we can multiply both sides of the equation by a factor that will cancel out the fractions. To do this, we will find the least common multiple (LCM) of the denominators. Here, the LCM of 4 and 6 is 12.
Given:
[tex]\displaystyle \frac{3}{4} x-3=\frac{5}{6}[/tex]
Multiply both sides of the equation by 12, then simplify:
[tex]\displaystyle 12*(\frac{3}{4} x-3)=(\frac{5}{6})*12[/tex]
[tex]\displaystyle \frac{12*3}{4} x-(12*3)=\frac{5 *12}{6}[/tex]
[tex]\displaystyle (3*3) x-36=5*2[/tex]
[tex]\displaystyle 9x-36=10[/tex]
