Answer:
1 = x
Step-by-step explanation:
x-5(x-1) = x-(2x-2)
First, you distrubute your numbers. On the left side, multiply the parentheses by '5', and on the right side multiply the perentheses by '-1'. It should look something like this:
x-5x+5 = x-2x+2
Now, you need to combine like terms. On the left side combine the 'x' and the '-5x'. On the right side combine the 'x' and the '-2x'. It should now look like this:
-4x+5 = -x+2
You need to isolate your variable. Working with positive variables is preferable and can decrease chances of confusion, so add '4x' to both sides, therefore canceling the '-4x' on the left and moving it to the right. It will now look like this:
5 = 3x+2
Subtract '-2' from both sides to get the '3x' by itself. It looks like this:
3 = 3x
For the final step, you want the x by itself. To do this, divide both sides by '3'. This will effectively cancel the '3' on the right side, moving it away from your variable. Your equation should end up being this:
1 = x
Hope this helps!
