Respuesta :

Answer:

[tex]9x+24=5[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{3}{4}x+2=\frac{5}{12}[/tex]

To get rid of the fraction [tex]\displaystyle \frac{3}{4}[/tex], multiply both sides of the equation by 4 (the denominator:

[tex]4(\displaystyle\frac{3}{4}x+2)=4(\frac{5}{12})\\\\\frac{4*3x}{4} +4*2=\frac{4*5}{12} \\\\3x+8=\frac{5}{3}[/tex]

Now, to get rid of the fraction [tex]\displaystyle\frac{5}{3}[/tex], multiply both sides of the equation by 3 (the denominator):

[tex]\displaystyle3(3x+8)=3(\frac{5}{3})\\\\3*3x+3*8=\frac{3*5}{3} \\9x+24=5[/tex]

I hope this helps!