Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]9\left(x+3\right)=4x-3[/tex]
Expand:
[tex]9x+9\times3=4x-3[/tex]
[tex]9x+27=4x-3[/tex]
Subtract 27 from both sides:
[tex]9x+27-27=4x-3-27[/tex]
[tex]9x=4x-30[/tex]
Subtract 4x from both sides:
[tex]9x-4x=4x-30-4x[/tex]
[tex]5x=-30[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]
[tex]x=-6[/tex]