Chapter 2.3, Problem 20P

Solve each equation. Check your answer.

$-15=5(3q-10)-5q$

To determine

To find: The simplified form of the equation $-15=5\left(3q-10\right)-5q$ and check the answer.

Answer to Problem 20P

The simplified form of the equation $-15=5\left(3q-10\right)-5q$ is $q=3.5$ .

Explanation of Solution

Given:

The equation is $-15=5\left(3q-10\right)-5q$ .

Calculation:

Simplify the equation $-15=5\left(3q-10\right)-5q$ as follows:

  $\begin{array}{c}-15=5\left(3q-10\right)-5q\\ -15=15q-50-5q\\ -15+50=10q\\ 35=10q\\ q=3.5\end{array}$

Check answer as follows:

  $\begin{array}{c}-15=5\left(3\times 3.5-10\right)-5\left(3.5\right)\\ -15=5\left(0.5\right)-17.5\\ -15=2.5-17.5\\ -15=-15\end{array}$

Thus, the simplified form of the equation $-15=5\left(3q-10\right)-5q$ is $q=3.5$ .