Respuesta :

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 = [tex]\dfrac {- 12}{- 3}[/tex]

x = 4

Hence, the required answer is → x = 4

~ Hope it helps!

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

We have given the equation is

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

We will solve this question step by step

Simplify the parenthesis so we get,

1.5x + 6 - 3 = 4.5x - 9

implies that

1.5x+3=4.5x-9

Combining the like terms

What is the meaning of combining the like terms?

A common technique for simplifying algebraic expressions

We have to write variable term one side  and numbers are other side so we have to subtract 4.5 from both side and also subtract 3 from both side,

1.5x - 4.5x = - 9 - 3

- 3x = - 12

We have to find the value of x so isolate x

We have to perform opposite operation of multiplication

What is the opposite operation of multiplication?

Division is the opposite operation of multiplication

Therefore divide both side by -3 we get,

[tex]x=\frac{-12}{-3} \\x=4[/tex]

x = 4

Therefore,the value of  x is 4.

To learn more about solve the expression visit:

https://brainly.com/question/723406