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

Answer:  The correct option is (B) 4.

Step-by-step explanation:  We are given to find the value of x in the following  equation :

$1.5(x+4)-3=4.5(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we need to solve equation (i) for x.

The solution of equation (i) is s follows :

$1.5(x+4)-3=4.5(x-2)\\\\\Rightarrow 1.5x+6-3=4.5x-9\\\\\Rightarrow 1.5x+3=4.5x-9\\\\\Rightarrow 4.5x-1.5x=3+9\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.$

Thus, the required value of x is 4.

Option (B) is CORRECT.

Answer 2

1.5(x + 4) - 3 = 3.5(x - 2)

We need to use the distributive property to simplify this.

1.5x + 6 - 3 = 3.5x - 7

Subtract 1.5x from both sides

6 - 3 = 2x - 7

Simplify left side

3 = 2x - 7

Add 7 to both sides

10 = 2x

Divide both sides by 2

x = 5