Respuesta :

Answer:

x=-7

Step-by-step explanation:

The given equation is

5(x+1)+51= -3x

Expand the parenthesis to get;

5x+5+51=-3x

Group similar terms to get;

5x+3x=-51-5

Combine the similar terms to get;

8x=-56

Divide both sides by 8

x=-7

Answer: [tex]x=-7[/tex]

Step-by-step explanation:

First you need to apply Distributive property on the left side of the equation:

[tex]5(x+1)+51=-3x \\5x+5+51=-3x[/tex]

Now, you need to add the like terms:

[tex]5x+56=-3x[/tex]

By the Subtraction property of equality, you can subtract 5x to both sides of the equation:

[tex]5x+56-5x=-3x-5x\\56=-8x[/tex]

By the Division property of equality, you can divide by -8 both sides of the equation. Then you get:

[tex]\frac{56}{-8}=\frac{-8x}{-8}\\\\-7=x[/tex]