Answer:
The solution is x = 26
Step-by-step explanation:
Here, the given equation is,
\(\frac{1}{3}(x-2)=\frac{1}{5}(x+4)+2\)
Add fractions on right side,
\(\frac{1}{3}(x-2)=\frac{x+4+10}{5}\)
By cross multiplication,
\(5(x-2)=3(x+14)\)
By distributive property,
\(5x-10=3x+42\)
Adding 10 on both sides,
\(5x=3x+52\)
Subtract 3x on both sides,
\(2x=52\)
Divide both sides by 2,
\(x=26\)
Which is the required solution,
Last option is correct.
