Question

What is the solution to the equation?

4(x + 1) = –16
a
–65
b
–63
c
–5
d
–3

Explain Please

Answer 1

• 
  `\Large\boxed{\sf{C. \ x=-5}}`

Explanation:

To solve this equation, isolate it on one side of the equation.

4(x+1)=-16

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

4(x+1)=-16

First, divide by 4 from both sides.

`\Longrightarrow: \sf{(4\left(x+1\right))/(4)=(-16)/(4)}`

Solve.

Divide these numbers goes from left to right.

-16/4=-4

`\Longrightarrow: \sf{x+1=-4}`

Subtract by 1 from both sides.

`\sf{x+1-1=-4-1}`

Solve.

-4-1=-5

`\Longrightarrow: \boxed{\sf{x=-5}}`

• Therefore, the solution is x=-5, which is our answer.

I hope this helps, let me know if you have any questions.