Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]3\left(2x-4\right)=4\left(x+1\right)[/tex]
Expand:
[tex]3\times 2x-3\times 4=4x+4\times 1[/tex]
[tex]6x-12=4x+4[/tex]
Add 12 to both sides:
[tex]6x-12+12=4x+4+12[/tex]
[tex]6x=4x+16[/tex]
Subtract 4x from both sides:
[tex]6x-4x=4x+16-4x[/tex]
[tex]2x=16[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]