Respuesta :

A.

Use PEMDAS

to get rid of the 3/4, divide both sides by 3/4 (.75) and 30 becomes 40

12x + 4 = 40

Subtract 4 from each side to cancel the - 4

12x = 36

Divide both sides by 12 to get rid of the 12

X = 3

Option A: 3 is correct since the solution of the given equation comes out as x = 3. The solution can be derived as shown below.

Given that:

The equation is :

[tex]\dfrac{3}{4} (12x + 4) = 30[/tex]

Explanation and solution:

The solution of an algebraic equation means that we need to find the values of the variables involved in that equation for which that equation holds true.

The solution of given equation can be derived as follows:

[tex]\dfrac{3}{4} (12x + 4) = 30\\\\3(12x + 4) = 30 \times 4\\\\36 x + 3 \times 4 = 120\\\\36x = 120 - 12\\\\x = \dfrac{108}{36}\\\\x = 3[/tex]

Thus, the solution of given equation is x = 3.

Learn more about solutions of equations here:

https://brainly.com/question/10439298