Answer:The value of the equation for x is [tex]x=\frac{1119}{2}[/tex] or 559.5.Step-by-step explanation:Consider the provided equation. [tex]45(15x+20)-7x=56(12x-24)+6[/tex]We need to solve the equation for x.Use the distributive property: [tex]a(b+c)=ab+ac[/tex][tex]45(15x+20)-7x=56(12x-24)+6[/tex][tex]675x+900-7x=672x-1344+6[/tex]Add the like terms.[tex]668x+900=672x-1338[/tex]Isolate the variable as shown:[tex]672x-668x=900+1338[/tex][tex]4x=2238[/tex][tex]x=\frac{2238}{4}[/tex][tex]x=\frac{1119}{2}[/tex]Hence, the value of the equation for x is [tex]x=\frac{1119}{2}[/tex] or 559.5.