Question

4 divided by the sum of x and 2 equals the quotient of 3 and the difference of x and 2.

Answer 1

Answer:

$x=14$

Step-by-step explanation:

$4$ divided by the sum of $x$ and $2$, in math lingo, is $4/(x+2)$. The quotient of $3$ and the difference of $x$ and $2$, in math lingo, is $3/(x-2)$.

We have that these two quantities are equal, so $4/(x+2)=3/(x-2)$.

We can multiply both sides of the equation by $(x+2)(x-2)$ to get $4(x-2)=3(x+2)$.

We can distribute both sides of the equation to get $4x-8=3x+6$.

We can subtract $3x$ from both sides of the equation to get $x-8=6$.

We can then add $8$ to both sides of the equation to get $x=14$.

So, the answer is $\boxed{x=14}$ and we're done!