Answer: [tex]x=\frac{11}{12y-15}[/tex]
Step-by-step explanation:
To solve for x, we want to isolate the variable.
[tex]4x(3y-2)=7x+11[/tex] [distribute]
[tex]12xy-8x=7x+11[/tex] [subtract both sides by 7x]
[tex]12xy-8x-7x=11[/tex] [combine like terms]
[tex]12xy-15x=11[/tex] [factor out x]
[tex]x(12y-15)=11[/tex] [divide both sides by 12y-15]
[tex]x=\frac{11}{12y-15}[/tex]
Now, we know that [tex]x=\frac{11}{12y-15}[/tex].
