Answer:
To solve the equation 350 = 12(x+20), we can start by distributing the 12 to get rid of the parentheses:
350 = 12x + 240
Next, we can isolate the variable x on one side by subtracting 240 from both sides:
350 - 240 = 12x
110 = 12x
Finally, we can solve for x by dividing both sides by 12:
x = 110/12
x ≈ 9.17
Therefore, the solution to the equation is x ≈ 9.17, which represents the number of months that the student needs to save $20 in addition to their usual savings in order to reach their goal of saving $350 in 12 months.