Question

solve the equation, and check your solution. 3(4s + 3) - 6s = 2(3s + 4) - 12 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is {}. (simplify your answer.) b. the solution set is {all real numbers} c. the solution set is ∅.

Explanation:

Step1: Expand both sides

$3(4s+3)-6s = 12s + 9 - 6s$; $2(3s+4)-12 = 6s + 8 - 12$

Step2: Simplify each side

$12s + 9 - 6s = 6s + 9$; $6s + 8 - 12 = 6s - 4$

Step3: Isolate variable terms

$6s + 9 = 6s - 4$
Subtract $6s$ from both sides: $6s - 6s + 9 = 6s - 6s - 4$

Step4: Evaluate the result

$9 = -4$
This is a false statement, so there is no solution.

Answer:

C. The solution set is $\emptyset$