# How do you solve #x/3=-10#?

##### 2 Answers

#### Explanation:

When dealing with equalities, you can multiply both sides by a same number, and the inequality will preserve its truth value. By this, I mean that if you start with a true equality, it will still be true, for example

So, we started with a true equality (

On the other hand, if the two sides are different, they will still differ after being multiplied by the same number:

So, we started with a false equality (

In your case, you only need to multiply both sides by

Why did we choose

Of, course, this comes with the price of an added calculation on the right hand side, but that's not much of a problem:

Equation solved! In fact, we reached a form like **solution** for the equation.

#### Explanation:

Given:

The objective is to end up with just one

To end up with just

Multiply both sides by

But

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To move a value to the other side of the equals:

For addition or subtraction:

For division or subtraction: