College Algebra CLEP Prep Practice Exam

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Which equation is equivalent to 5/x -3 = 13?

x = 18
x = -18
x = 8
x = -8

The correct answer is: x = -18

To solve this equation, we need to get "x" alone on one side of the equation. In the given equation, we can first move the -3 to the other side by adding 3 to both sides, giving us 5/x = 16. Then, we can multiply both sides by x to get rid of the fraction, which gives us 5 = 16x. Finally, we can divide both sides by 16 to find the value of x, which is 5/16. Therefore, the equivalent equation would be 16x = 5, or x = 5/16. This corresponds to option B, which is x = -18. Option A, x = 18, is incorrect because the first step in solving the equation would be to multiply both sides by x, which would give us 5 = 18x - 3