Respuesta :

Hello!

Step 1: Simplify both sides of the equation.
1.5(x+4)
−3
=4.5(x−2)


(1.5)
(x)
+(1.5)(4)
+
−3
=(4.5)(x)+(4.5)(−2)
(Distribute)

1.5x
+6
+
−3
=4.5x+−9


(1.5x)
+(6+−3)
=4.5x−9
(Combine Like Terms)

1.5x
+3
=4.5x−9

Step 2: Subtract 4.5x from both sides.

1.5x
+3
4.5x
=4.5x−94.5x


3x
+3
=−9


Step 3: Subtract 3 from both sides.

3x
+3
−3
=−9−3


3x
=−12


Step 4: Divide both sides by -3.

3x
−3
=−12−3


x=4

Hope this helps! Cheerio, and have a lovely day!

The required value of x in the equation is 3.43.

Given that,

Equation is, 1.5(x + 4) – 3 = 4.5(x – 2)

We need to find,

The value of x in the equation.

According to the question,

Equation = 1.5(x + 4) – 3 = 4.5(x – 2)

Simplify the equation, to determine the value of x

[tex]= 1.5(x + 4) - 3 = 4.5( x - 2)\\= 1.5x + 6 - 3 = 4.5x - 9\\= 1.5x + 3 = 4.5x - 9\\= 1.5x - 4.5x = -9 - 3\\= -3.5x = -12\\= x = \frac{12}{3.5} \\= x = 3.42[/tex]

The value to x is 3.42.

Hence, The required value of x in the equation is 3.43.

For more information about Linear equation click the link given below.

https://brainly.com/question/11835006