Question

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

Answer 1

Hi there!

The Eqn. is :-

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

1.5x + 6 - 3 = 4.5x - 9

Combining the like terms :-

1.5x - 4.5x = - 9 - 6 + 3

- 3x = - 15 + 3

- 3x = - 12

x = $\dfrac {- 12}{- 3}$

x = 4

Hence, the required answer is → x = 4

~ Hope it helps!

Answer 2

Hi there! The answer is x = 4.

Let's solve this equation step by step!
$1.5(x + 4) - 3 = 4.5(x - 2)$

First we need to work out the parenthesis, which can for instance be done using rainbow technique.
$1.5x + 6 - 3 = 4.5x - 9$

First collect terms.
$1.5x + 3 = 4.5x - 9$

Subtract 3 from both sides
$1.5x = 4.5x - 12$

Subtract 4.5x from both sides.
$- 3x = - 12$

And finally divide both sides by -3.
$x = \frac{ - 12}{ - 3} = 4$