Question

Solve for x.

d(-3+x)=kx+9

Answer 1

x = -9 / (2d+k)

Explanation:

d(-3x+x) = kx+9

-3dx + dx = kx+9

-3dx + dx - kx = 9

x(-3d+d-k) = 9

x (-2d-k)= 9

x [-(2d+k)]=9

x = -9 / (2d+k)

Answer 2

The value of the provide equation for x is
`x=(9+3d)/(d-k)`.

Explanation:

Consider the provided equation.

`d(-3+x)=kx+9`

We need to solve the equation for x.

Use the distributive property:
`a(b+c)=ab+ac`

`-3d+xd=kx+9`

Subtract kx from both sides.

`-3d+xd-kx=kx-kx+9`

`-3d+xd-kx=9`

Add 3d both sides.

`-3d+3d+xd-kx=9+3d`

`xd-kx=9+3d`

Take x common from left side.

`x(d-k)=9+3d`

Divide both the sides by d-k.

`(x(d-k))/(d-k)=(9+3d)/(d-k)`

`x=(9+3d)/(d-k)`

Hence, the value of the provide equation for x is
`x=(9+3d)/(d-k)`.