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