Question

Solve for x
3j = 4kx + 7mx + n

Answer 1

3j = 4kx +7mx +n
Reorder so the common terms are on one side.
4kx +7mx = -n +3j
Factor x out of 4kx +7mx
x (4k +7m) = -n +3j
Divide each term by 4k + 7m and simplify.

x = 3j -n /
4k +7m

Answer 2

`x=(3j-n)/(4k+7m)`

Explanation:

We have the expression
`3j=4kx+7mx+n` and we have to solve for x, this means that we have to clear x.

Then first we are going to subtract n in both sides of the equation,

`3j=4kx+7mx+n\\3j-n=4kx+7mx+n-n\\3j-n=4kx+7mx`

Now in the right side we can apply common factor x.

`3j-n=(4k)x+(7m)x\\3j-n=x(4k+7m)`

For the last step divide both sides of the equation in (4k+7m),

`3j-n=x(4k+7m)\\\\(3j-n)/(4k+7m)=(x(4k+7m))/((4k+7m)) \\\\(3j-n)/(4k+7m)=x`

Then,

`x=(3j-n)/(4k+7m)`