Question

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

x = 12
x = 14
x = 16
x = 26

Answer 1

the solution is x=26

Answer 2

The solution is x = 26

Explanation:

Here, the given equation is,

`(1)/(3)(x-2)=(1)/(5)(x+4)+2`

Add fractions on right side,

`(1)/(3)(x-2)=(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.