Answer:
x = 1
Step-by-step explanation:
Given equation:
[tex]\frac{x}{2}+\frac{1}{3}=\frac{5}{6}[/tex]
Now,
subtracting [tex]\frac{1}{3}[/tex] from both sides
we get
⇒ [tex]\frac{x}{2}+\frac{1}{3}-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}[/tex]
or
⇒ [tex]\frac{x}{2}+0=\frac{5}{6}-\frac{1}{3}[/tex]
or
⇒ [tex]\frac{x}{2}=\frac{5\times3-6}{6\times3}[/tex]
or
⇒ [tex]\frac{x}{2}=\frac{9}{18}[/tex]
or
[tex]\frac{x}{2}=\frac{1}{2}[/tex]
Now, multiplying both sides with the number 2, we get
x = 1
