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

Answer:

$x=\frac{3j-n}{4k+7m}$

Step-by-step 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),

$3j-n=x(4k+7m)\\\\\frac{3j-n}{4k+7m}=\frac{x(4k+7m)}{(4k+7m)} \\\\\frac{3j-n}{4k+7m}=x$

Then,

$x=\frac{3j-n}{4k+7m}$