Chapter 2.2, Problem 26P

Writing Describe, using words, how to solve the equation $6-4x=18$.

List any properties utilized in the solution.

To determine

To solve the equation:

  $6-4x=18$

Answer to Problem 26P

  $x=-3$

Explanation of Solution

Given:

  $6-4x=18$

Concept Used:

• Steps to solve a linear equation:
1. Use distributive property to remove any grouping symbol.
2. Simplify the expression in each side of the equation.
3. Collect the variable terms on one side of the equation and the constant on the other side.
4. Isolate the variable
• To check the solution of a equation substitute the solution in the equation and check whether it satisfies.

Calculation:

In order to solve the equation:

  $6-4x=18$

First, simplify each side of the equation by subtracting both sides by $6$ , as

  $\begin{array}{l}6-6-4x=18-6\\ \Rightarrow -4x=12\end{array}$

Now, divide both sides by $-4$ , as

  $\begin{array}{l}\frac{-4x}{-4}=\frac{12}{-4}\\ \Rightarrow x=-3\end{array}$

Thus, solution of given equation is $x=-3$ .