Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboard. Let x represent the number of weeks it will take for Damon to save the money he needs

 It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

6 weeks

Step-by-step explanation:

160=20x +40

-40          -40

120=20x

devide bothsides by 20

6=x