What is the significance of path independence in relation to how it affects limits for functions of several variables?

Your answer is x = -16

You can solve this question by rearranging the equation to get 'x =':

(3/4)x + 2 = (3/8)x - 4

(+ 4)

(3/4)x + 6 = (3/8)x

(- (3/4)x)

6 = (3/8)x - (3/4)x

Now we need to do 3/8 - 3/4, and we can do this by multiplying 3/4 by 2 to get 6/8. Then we just subtract the numerators:

3/8 - 6/8 = -3/8

6 = (-3/8)x

(÷ -3/8)

-16 = x

To solve at the end without a calculator, you would multiply both sides by 8 to get 48 = -3x, and then divide by -3 to get x = -16.

I hope this helps!