Sally worked the following equation on her paper. She checked her answer and found that is was incorrect. Identify her mistakes and explain to her how to correct them. (hint: There are 2 mistakes.)
3(8x-2)=46-2(12x+1)
24x-6=46-24x-6=48-24x
48x-6=48
48x=42
x=42/48 or 7/8

Question

Sally worked the following equation on her paper. She checked her answer and found that is was incorrect. Identify her mistakes and explain to her how to correct them. (hint: There are 2 mistakes.) 
3(8x-2)=46-2(12x+1)
24x-6=46-24x-6=48-24x
48x-6=48
48x=42
x=42/48 or 7/8

anonymous · Answer

3(8x-2)=46-2(12x+1)
On the RHS of the above expression -2 times +1 is -2, not -6.
48x-6=48
When -6 is moved to the RHS, the result is 48+6, 54, not 42.