Solve for x.a(5 - x) = bx - 8

Consider the given equation:[tex]a(5-x)=bx-8[/tex]We have to solve the given equation for the value of 'x', we getWe will use distributive property which states [tex]a(b+c) = ab+ ac[/tex][tex](a \times 5)+(a \times -x) = bx-8[/tex][tex]5a-ax = bx -8[/tex]Equating the like terms and the constants, we get[tex]5a+8= ax+bx[/tex]Taking 'x' common from the RHS of the equation.[tex]5a+8 = x(a+b)[/tex][tex]x = \frac{5a+8}{a+b}[/tex]Therefore, the value of 'x' is [tex]x = \frac{5a+8}{a+b}[/tex].