Answer:
x=-1
Explanation:
Given the equation:
[tex]4x+9=x+6[/tex]First, we subtract 9 from both sides.
[tex]\begin{gathered} 4x+9-9=x+6-9 \\ 4x=x-3 \end{gathered}[/tex]Next, we subtract x from both sides.
[tex]\begin{gathered} 4x-x=x-x-3 \\ 3x=-3 \end{gathered}[/tex]Finally, we divide both sides by the number beside x which is 3.
[tex]\begin{gathered} \frac{3x}{3}=\frac{-3}{3} \\ x=-1 \end{gathered}[/tex]The value of x that makes the equation true is -1.