Given equation is
[tex]4(2x-1)=6(4x-5)[/tex]
Using distributive law.
[tex]a(b+c)=ab=ac[/tex]
[tex]4\times2x-4\times1=6\times4x-6\times5[/tex]
[tex]8x-4=24x-30[/tex]
[tex]-4+30=24x-8x[/tex]
[tex]26=16x[/tex]
Dividing both sides by 16, we get
[tex]\frac{26}{16}=\frac{16x}{16}[/tex][tex]\frac{13}{8}=x[/tex]
Hence the solution of the given equation is
[tex]x=\frac{13}{8}[/tex]
