A tree in Micah's yard has 122 leaves and loses an average of 4 leaves each day. A tree in Heather's yard has 44 leaves and gains an average of 2 leaves each day. Write an equation to find the number of days it will take for both trees to have an equal number of leaves.

The equation would be 122-4x= 44+ 2x

Step-by-step explanation:

A tree in Micah's yard as 122 leaves and loses an average of 4 leaves each day. So when you set up the equation it is 122-4x, where x stands for a day. A tree in Heather's yard has 44 leaves and gains an average of 2 leaves each day. So when you set that equation it would be 44+2x, x for each day. So when you set that equation up it would be 122-4x=44+2x. If you want to solve it you first rearrange the terms: -4x+122=2x+44. Next subtract 122 from each side. So the it would be: -4x+123-122= 2x+44-122 which would be -4x=2x-78. Now you subtract 2x from both sides. It should say -4x-2x= 2x-2x-78 which would be -6= -78. Finally you divide both sides by the same term so -6/-6=-78/-6 which would be x=13. Now you can plug in 13 on each x and you will get the same number. 122-4(13) = 44+2(13)

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step-by-step explanation: