Question

A(5−x)=bx−8 solve for x

Answer 1

The value of the equation for x is
`x=(5a+8)/(b+a)`.

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=(5a+8)/(b+a)`

Hence, the value of the equation for x is
`x=(5a+8)/(b+a)`.