Math

Question Solve the equation 23x=p+n\frac{2}{3 x}=p+n for the variable xx.

Studdy Solution

STEP 1

Assumptions
1. The equation is 23x=p+n\frac{2}{3 x}=p+n
2. We are solving for xx

STEP 2

First, we need to isolate xx in the equation. We can start by multiplying both sides of the equation by 3x3x to get rid of the denominator on the left side.
3x23x=3x(p+n)3x \cdot \frac{2}{3x} = 3x \cdot (p+n)

STEP 3

Simplify the left side of the equation.
2=3x(p+n)2 = 3x \cdot (p+n)

STEP 4

Next, we can isolate xx by dividing both sides of the equation by 3(p+n)3(p+n).
23(p+n)=x\frac{2}{3(p+n)} = x

STEP 5

So, the solution to the equation 23x=p+n\frac{2}{3 x}=p+n for xx is
x=23(p+n)x = \frac{2}{3(p+n)}

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