Question

Two students determined the value of this equation as shown below.

2x – (3x + 5) + 2 = 5x – 14
[picture below]
Describe any errors made when solving the equation by Student A.
Describe any errors made when solving the equation by Student B.
Show a complete set of correct steps to determine the solution to the equation.

Answer 1

(you can do the first two parts with the help of the third part)

2x-(3x+5)+2=5-14

2x-3x-5+2=5-14 (distribute the negative sign)
-1x-3=-9 (simplify equation by adding/subtracting)
-1x-3=-9 (add 3 on both sides)
-1x=-6 (divide both sides by negative 1)
x=6

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