Step by step
The question
Question: solve −x = 7.
−x = 7
1 Remove the −1
−x means −1 times x.
We want just x.
To remove times −1, we divide by −1.
We do it on both sides.
Why both sides?
The = sign means both sides are the same amount.
If we change only one side, they are not the same any more.
−1 divided by −1 is 1.
So just x is left.
7 divided by −1 is −7.
7−1 = −7
So x = −7!
x = −7
2 Check
Let's check: put −7 in place of x.
Check: −(−7) = 7
We get 7, the same as the right side.
So x = −7 is right!
Let's look back.
First: remove the −1.
Last: check.
Answer
x = −7