Question

A(5−x)=bx−8 solve for x

Answer 1

Answer:

The value of the equation for x is $x=\frac{5a+8}{b+a}$.

Step-by-step explanation:

Consider the provided equation.

$a(5-x)=bx-8$  

We need to solve the equation for x.  

Distributive property:

$a(b+c)=ab+ac$

Use the distributive property and solve the above equation.

$5a-ax=bx-8$

Add ax and 8 to both the sides.

$5a-ax+ax+8=bx+ax+8-8$

Simplify the equation.

$5a+8=bx+ax$

Take x common.

$5a+8=x(b+a)$

Now divide both the sides by b+a.

$x=\frac{5a+8}{b+a}$

Hence, the value of the equation for x is $x=\frac{5a+8}{b+a}$.