Question

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

3
4
5
9

Answer 1

the correct answer is 4

1.5 (4+4) -3 = 9

4.5 ( 4-2) =9

Answer 2

option (b) is correct.

The value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2) is 4.

Explanation:

Given equation 1.5(x + 4) – 3 = 4.5(x – 2)

We have to solve for x,

Consider the given equation 1.5(x + 4) – 3 = 4.5(x – 2)

Simplify both side by multiplying 1.5 with each term in bracket on left side, and multiplying 4.5 with each term in bracket on right side, we get,

1.5x + 6 – 3 = 4.5x – 9

Now, simplify both sides, we get,

1.5x + 3 = 4.5x – 9

Taking like terms one side, we get,

4.5x - 1.5x = 9 + 3

Simplify, we get,

3 x = 12

divide both side by 3 , we get,

x = 4

Thus, the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2) is 4.

Thus, option (b) is correct.