Question

I need help.

Answer 1

\[(m-2) - 5 = 8 - 2(m - 4)\]

Answer 2

The first step is to get rid of parentheses on both sides.

Answer 3

\[-5m + 10 = 8 - 2m + 8\]

Answer 4

On the left side, the parentheses are not needed, so you just drop them.
On the right side, you must distribute the -2 throughout the parentheses.

Answer 5

\[-7 + m = 8 - 2m + 8 \]

Answer 6

You distributed the -5 on the left side.
The way you have written the original problem, the 5 is being subtracted from the quantity in parentheses on the left side.
If distribution was meant, then you must not have copied the problem well.

Answer 7

According to the problem you wrote, you are correct so far.

Answer 8

Now you need all m's on the left side.
Add 2m to both sides to bring the -2m to the left side.
Also, combine like terms (the numbers) on the right side.

Answer 9

\[3m = 23\]

Answer 10

\[m = \frac{ 23 }{ 3 }\]

Answer 11

Correct.