Q. 1 - Precalculus Enhanced with Graphing Utilities

Question

Solve: $2\left(x+3\right)-1=-7$

Step-by-Step Solution

Answer

The solution set is $\left\{-6\right\}$.

Step 1: Given information:

Consider the equation,

$2\left(x+3\right)-1=-7$

Step 2:

Use the Distributive property:

$2x+6-1=-7$

$2x+5=-7$

Step 3:

Add $(-5)$ on both sides,

$2x+5-5=-7-5$

$2x=-12$

Step 4:

Divide by 2 on both sides,

$$\begin{gathered} \frac{2x}{2}=\frac{-12}{2} \\ x=-6 \end{gathered}$$