Answer: [tex]x=\frac{1}{6}[/tex]
Step-by-step explanation:
To find x, we want to isolate x.
[tex]\frac{1}{2}x+\frac{2}{3} =\frac{3}{4}[/tex] [subtract both sides by [tex]\frac{2}{3}[/tex]]
[tex]\frac{1}{2} x=\frac{9}{12} -\frac{8}{12}[/tex] [subtract]
[tex]\frac{1}{2} x=\frac{1}{12}[/tex] [multiply both sides by 2]
[tex]x=\frac{2}{12} =\frac{1}{6}[/tex]
Now, we know that [tex]x=\frac{1}{6}[/tex].
