Steply

Solve -x = 7

Step by step, with the reason for every step · Linear equations · Algebra 1

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.

−x−1 = 7−1

−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

Your turn

Try this one yourself, then check:

Solve −x = 10
Show the answer
x = −10

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