Question

Solve the given linear equation. 14x + 9 = 6x + 42

Answer 1

Given the following linear equation :

`14x+9=6x+42`

You can follow these steps in order to find the solution (Remember that you must solve for the variable "x"):

1. Applying the Subtraction property of Equality, subtract 6x from both sides of the equation:

`\begin{gathered} 14x+9-(6x)=6x+42-(6x) \\ 8x+9=42 \end{gathered}`

2. Subtract 9 from both sides of the equation:

`\begin{gathered} 8x+9-(9)=42-(9) \\ 8x=33 \end{gathered}`

3. Applying the Division property of Equality, you can divide both sides of the equation by 8:

`\begin{gathered} (8x)/(8)=(33)/(8) \\ x=(33)/(8) \end{gathered}`

The solution is:

`x=(33)/(8)`