Question

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

Answer 1

`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`

Answer 2

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.