Respuesta :

Answer:

c

Step-by-step explanation: since i helped can i have brainlist please :D

The value of x in the equation is equal to 0

What is an Equation:

This is a mathematical statement used to solve word problems algebraically.

In this question, we have two expression that equates each other and we are asked to solve for x.

  • [tex]\frac{2}{3}(\frac{1}{2}x - 12)[/tex]
  • [tex]\frac{1}{3}x + 14[/tex]

Let's equate this and solve for x

[tex]\frac{2}{3} (\frac{1}{2}x+12) = (\frac{1}{3}x + 14)\\ \frac{2}{6}x + \frac{2*12}{3} = \frac{1}{3} x + 14\\ \frac{2x}{6} + 8 = \frac{x + 42}{3} \\ \frac{2x}{6} + 8 =\frac{x}{3}+ \frac{14}{3}\\[/tex]

collect like terms

[tex]\frac{x}{3} - \frac{2x}{3} = 8 - \frac{14}{3} \\0 = 0[/tex]

The value of x in the equation is equal to 0

Learn more on equations here;

https://brainly.com/question/16863577