Question

solve the equation. what is the value of h? add 2h to both sides to get rid of -2h on the left and get all the h terms on the right side of the equation. 10 - 2(h + 4) = 3h - 8 10 - 2h - 8 = 3h - 8 -2h + 2 = 3h - 8 + 2h = 3h - 8 + 2h \boxed{} = \boxed{}

Explanation:

Step1: Simplify left side after adding $2h$

$$\begin{align*} -2h + 2 + 2h &= 2 \end{align*}$$

Step2: Simplify right side after adding $2h$

$$\begin{align*} 3h - 8 + 2h &= 5h - 8 \end{align*}$$

Step3: Isolate the $h$-containing term

Add 8 to both sides:

$$\begin{align*} 2 + 8 &= 5h - 8 + 8 \\ 10 &= 5h \end{align*}$$

Step4: Solve for $h$

Divide both sides by 5:

$$\begin{align*} h &= \frac{10}{5} = 2 \end{align*}$$

Answer:

First blank: $2$
Second blank: $5h - 8$
Final value of $h$: $2$