Locate where the error has occurred in the problem below. Explain what the error is and how it can be fixed.
Line 1 -18 – 6x = 6(1+3x)
Line 2 -18 – 6x = 6 + 18x
Line 3 -18 = 6 + 12x
Line 4 -24 = 12x
Line 5 -2 = x
The error occurs between lines 2 and 3
Line 2 -18 – 6x = 6 + 18x
Line 3 -18 = 6 + 12x
The person added 6x to the left side but subtracted it from the right side
The correct move is to add 6x to both sides so that Line 3 becomes
-18 = 6 + 24x
Subtract 6 from both sides
-24 = 24x divide both sides by 24
-1 = x