Question

Solve for x: the quantity of x plus 16 all over 3 = 3x

Answer 1

x = 2

Explanation:

To solve for x in the problem, we will follow the steps below:

`(x+ 16)/(3)` = 3x

Multiply both-side of the equation by 3

`(x+ 16)/(3)` × 3 = 3x × 3

At the left-hand side of the equation 3 will cancel-out 3, hence our equation becomes;

x + 16 = 9x

Subtract x from both-side of the equation

x + 16 - x = 9x - x

16 = 8x

Divide both-side of the equation by 8

`(16)/(8)` =
`(8X)/(8)`

On the right-hand side of the equation, 8 will cancel-out 8, leaving us with just x while on the left-hand side of the equation 16 will be divided by 8

2 = x

x = 2

Answer 2

x = 2

Explanation:

(x + 16) ÷ 3 = 3 x

x + 16 = 3 × 3 x

x + 16 = 9 x

16 = 8 x

∴ x = 2