Respuesta :

Answer:

The answer to your question is -5

Step-by-step explanation:

Data

            [tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]

Process

1.- Subtract 5x in both sides

            [tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]

2.- Simplify

           [tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]

3.- Add 7/2 in both sides

           [tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]

4.- Simplify

           - [tex]\frac{7}{2} x = \frac{35}{2}[/tex]

5.- Solve for x

               x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]

6.- Simplify

               x = -5

Answer: x = -3.71

Step-by-step explanation:

3/2*-7/2=5x+14

-4.55=5x+14

Subtract 14

-18.55=5x

Divide by 5

x = -3.71

Hope it helps <3