Given the following linear equation :
[tex]14x+9=6x+42[/tex]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:
[tex]\begin{gathered} 14x+9-(6x)=6x+42-(6x) \\ 8x+9=42 \end{gathered}[/tex]2. Subtract 9 from both sides of the equation:
[tex]\begin{gathered} 8x+9-(9)=42-(9) \\ 8x=33 \end{gathered}[/tex]3. Applying the Division property of Equality, you can divide both sides of the equation by 8:
[tex]\begin{gathered} \frac{8x}{8}=\frac{33}{8} \\ x=\frac{33}{8} \end{gathered}[/tex]The solution is:
[tex]x=\frac{33}{8}[/tex]
