Question

19)

For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
at
A)
2.
ng
0
5
B)
3
C
4.
D)
5

Answer 1

The correct answer is: Option D) 5

Explanation:

Given equation is:

`3(x + 2) + x = 2x + 16`

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

`3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \\eq 20`

Putting x = 3

`3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \\eq 22`

Putting x=4

`3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \\eq 24`

Putting x = 5

`3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26`

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5