Final answer:
To make x the subject of the formula c = 3x / (2x - 5), multiply both sides by (2x - 5), distribute c, move all terms involving x to one side, and divide by the coefficient of x to isolate x, which results in x = 5c / (2c - 3).
Step-by-step explanation:
The student is asking to make x the subject of the formula c = 3x / (2x - 5). This type of problem is common in algebra and pre-calculus classes. To solve for x, we need to manipulate the equation so that x is on one side of the equation by itself. Here's a step-by-step method:
Multiply both sides by (2x - 5) to get rid of the denominator on the right side, so we have c(2x - 5) = 3x.
Distribute c across the bracket, giving us 2cx - 5c = 3x.
Moving all terms involving x to one side and constant terms to the other gives us 2cx - 3x = 5c.
Factor out an x from the left side, which results in x(2c - 3) = 5c.
Finally, divide both sides by (2c - 3) to isolate x, which gives us x = 5c / (2c - 3).
This is the expression for x as the subject of the original formula.