Question

What is the solution to the equation 1/3 (x - 2) = 1/5 (x + 4) + 2?

Answer 1

The solution is x=26

Answer 2

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.