Answer:
The value of the equation for x is [tex]x=\frac{5a+8}{b+a}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]a(5-x)=bx-8[/tex]
We need to solve the equation for x.
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
Use the distributive property and solve the above equation.
[tex]5a-ax=bx-8[/tex]
Add ax and 8 to both the sides.
[tex]5a-ax+ax+8=bx+ax+8-8[/tex]
Simplify the equation.
[tex]5a+8=bx+ax[/tex]
Take x common.
[tex]5a+8=x(b+a)[/tex]
Now divide both the sides by b+a.
[tex]x=\frac{5a+8}{b+a}[/tex]
Hence, the value of the equation for x is [tex]x=\frac{5a+8}{b+a}[/tex].
