Finn shows his work in finding the solution to 4x+6=2+3(x+2) . After checking his answer in the original equation, he found that it did not work. Where did he make a mistake? 4x+6 =2+3(x+2) Step 1 4x+6 =2+3x+2 Step 2 −3x −3x x+6 =2 +2 Step 3 x+6 =4 Step 4 −6 −6 x =−2

1 answer

Finn made a mistake in Step 2 of his work. When distributing the 3 outside the parentheses, he should have multiplied 3 by both x and 2.

The correct work should be:

4x + 6 = 2 + 3(x) + 3(2)
4x + 6 = 2 + 3x + 6