Tight Knit is an online store that sells two different tiers of monthly subscription boxes with knitting supplies. Recently, the number of basic subscriptions has been decreasing by 5 each month, while the number of deluxe subscriptions has been increasing by 8 each month. This month, the company had 288 basic subscriptions and 93 deluxe subscriptions. How many months will it take for the number of basic subscriptions to match the number of deluxce subscriptions? months Submit Work it out

Step 1 ：Tight Knit is an online store that sells two different tiers of monthly subscription boxes with knitting supplies. Recently, the number of basic subscriptions has been decreasing by 5 each month, while the number of deluxe subscriptions has been increasing by 8 each month. This month, the company had 288 basic subscriptions and 93 deluxe subscriptions.

Step 2 ：The number of basic subscriptions is decreasing by 5 each month and the number of deluxe subscriptions is increasing by 8 each month. This means that the difference between the number of basic and deluxe subscriptions is decreasing by 13 each month.

Step 3 ：We can set up an equation to solve for the number of months it will take for the number of basic subscriptions to match the number of deluxe subscriptions. Let's denote the number of months as x. The equation will be: \(288 - 5x = 93 + 8x\)

Step 4 ：We can solve this equation to find the value of x. After solving, we find that \(x = 15\)

Step 5 ：Final Answer: It will take \(\boxed{15}\) months for the number of basic subscriptions to match the number of deluxe subscriptions.