Chapter 2.3, Problem 16P

Solve each equation. Check your answer.

$-10=5(2w-4)$

To determine

To find: The simplified form of the equation $-10=5\left(2w-4\right)$ and check the answer.

Answer to Problem 16P

The simplified form of the equation $-10=5\left(2w-4\right)$ is $w=1$ .

Explanation of Solution

Given:

The equation is $-10=5\left(2w-4\right)$ .

Calculation:

Simplify the equation $-10=5\left(2w-4\right)$ as follows:

  $\begin{array}{c}-10=5\left(2w-4\right)\\ -10=10w-20\\ 10w=-10+20\\ w=\frac{10}{10}\\ w=1\end{array}$

Check answer as follows:

  $\begin{array}{c}-10=5\left(2\left(1\right)-4\right)\\ -10=5\left(-2\right)\\ -10=-10\end{array}$

Thus, the simplified form of the equation $-10=5\left(2w-4\right)$ is $w=1$ .