# How do you solve #x − 5 = −10#?

##### 2 Answers

x = -5

#### Explanation:

x - 5 = -10

Bringing the constants to one side, and the variable on the other; remember to change the signs as you shift

x = -10 + 5

x = -5

I have shown how to arrive at the answer from first principles so that you can use the shortcut with confidence.

#### Explanation:

Given:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider 6=6

This we know to be true

Suppose we subtracted 2 only from the left hand side (LHS)

To make this be correct we apply the golden rule:

so we subtract 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

End up with

Add

The brackets are only there to show the original parts of the equation.

But +5-5=0 and 5-10 = -5 giving

The shortcut gets you to the same place but very much quicker.

With addition; to move something to the other side of the equals sign do so but change its sign.

By shortcut: