17.9k views
17 votes
Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14 ​

User Intra
by
7.6k points

2 Answers

5 votes

Answer:


x=2

Explanation:

Given equation:


4(x+4)-10=14

Add 10 to both sides:


\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}

Divide both sides by 4:


\begin{aligned}(4(x+4))/(4) & =(24)/(4)\\ x+4 & =6\end{aligned}

Subtract 4 from both sides:


\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}

Therefore, the solution is
x=2

User Miguel Febres
by
8.6k points
10 votes

Answer:

x = 2

Explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

  • ⇒ 4(x + 4) - 10 = 14
  • ⇒ 4x + 16 - 10 = 14

Simplify the left hand side as needed to determine the "x" variable.

  • ⇒ 4x + 6 = 14

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

  • ⇒ 4x + 6 - 6 = 14 - 6
  • ⇒ 4x = 8

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

  • ⇒ 4x/4 = 8/4
  • x = 2

Thus, the value of x is 2.

User WineSoaked
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories