College Algebra CLEP Prep Practice Exam

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What is the solution set of the equation 2(x+7) = 10?

{-2, 12}
{3, -17}
{-3, 17}
{2, -12}

The correct answer is: {2, -12}

In order to solve the equation, we need to isolate the variable x on one side of the equal sign. Starting with the equation 2(x+7) = 10, we can distribute the 2 on the left side to get 2x + 14 = 10. Next, we can subtract 14 from both sides to get 2x = -4. Finally, dividing both sides by 2 gives us the solution x = -2. Therefore, the solution set is {2, -12}. Option A is incorrect because it is missing the negative solution of -12. Option B is incorrect because it does not have any solutions that satisfy the equation. Option C is incorrect because it is missing the negative solution of -3. Thus, option D is the only answer that includes both solutions, making it the correct solution set for this equation.