Question

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

A 3
B 4
C 5
D 9​

Answer 1

x=4

EXPLANATION

The given equation is

`1.5(x + 4) - 3= 4.5(x - 2)`

Multiply through by 10

`15(x + 4) - 30= 45(x - 2)`

We expand to get:

`15x + 60 - 30= 45x - 90`

Group similar terms to get;

`15x - 45x = - 90 - 60+ 30`

`- 30x = - 120`

`x= 4`

Answer 2

B.4

Explanation:

1.5(x+4) - 3 = 4.5( x-2)-----------------------open brackets on both sides

1.5 x +6 -3= 4.5x- 9.................................collect like terms

3+9 = 4.5 x- 1.5x

12=3x..................................divide by 3 both sides to get x

12/3=x

x=4