A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. He writes the equation shown to represent the situation.
6(x + 18) = 192
In the equation, x represents the number of boards in each kit.
To solve for x, first distribute the 6 on the left side of the equation:
6x + 108 = 192
Then, combine like terms:
6x = 84
Finally, solve for x by dividing both sides by 6:
x = 14
Therefore, each kit contains 14 boards.