solve 3(8x-2)=46-2(12x+1)
24x-6=46-24x+2
24x-6=48-24x
48x-6=48
48x=42
x=42/48 or 7/8
what where the two mistakes made in the problem?
I said the 46 going to 48 and subtracting the 6 from 48?
correct solution:
24x-6=46-24x-2
48x = 50
x = 50/48 = 25/24
the first major error is the +2 instead of -2
second error is subtracting 6 instead of adding 6 to both sides
I think you had picked them out correctly
The two mistakes made in the problem are:
1. You made an error when combining like terms in the equation: 24x - 6 = 48 - 24x. The correct combination of terms would be 24x - 6 = 48 + (-24x), which simplifies to 24x - 6 = 48 - 24x.
2. While solving the equation, you made a sign error when subtracting 24x from both sides of the equation. It should be 48x - 6 = 48, not 48x - 6 = -48x.
By correcting these mistakes, the correct solution is obtained:
48x - 6 = 48
48x = 54
x = 54/48, which simplifies to x = 9/8.