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Answers without the blur. Sign up and see all textbooks for free! Q7.

Expert-verified Found in: Page 127 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Solve the equation. Check your solution.$\mathbf{16}\mathbf{=}\mathbf{8}\left(\mathbf{x}\mathbf{-}\mathbf{1}\right)$

The solution for the equation $16=8\left(x-1\right)$ is$x=3$ .

See the step by step solution

## Step 1. Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{array}{c}16=8\left(x-1\right)\\ 16=8x-8\\ 16+8=8x-8+8\\ 24=8x\\ 8x=24\end{array}$

## Step 2. Solve for x

Now, divide both sides of the equation by 3.

$\begin{array}{c}\frac{8x}{8}=\frac{24}{8}\\ x=3\end{array}$

Therefore, the solution of the equation is$x=3$ .

## Step 3. Check the solution

To check the solution, write the original equation and substitute the value of x.

$16=8\left(x-1\right)$

Now, substitute$x=3$ and check the result.

$\begin{array}{c}16=8\left(3-1\right)\\ 16=8\left(2\right)\\ 16=16\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct. ### Want to see more solutions like these? 