Respuesta :

For this case we must find the solution of the following equation:

[tex]5x + 20 = 7 (x + 2)[/tex]

Applying distributive property on the right side of the equation we have:

[tex]5x + 20 = 7x + 14[/tex]

Subtracting 7x from both sides of the equation:

[tex]5x-7x + 20 = 14\\-2x + 20 = 14[/tex]

Subtracting 20 from both sides of the equation:

[tex]-2x = 14-20[/tex]

Different signs are subtracted and the major sign is placed.

[tex]-2x = -6[/tex]

Dividing between -2 on both sides of the equation:

[tex]x = \frac {-6} {- 2}\\x = 3[/tex]

Thus, the solution of the equation is[tex]x = 3[/tex]

Answer:

[tex]x = 3[/tex]