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# Solving Equations: Basic

Solving equations is probably much easier than you think. All you need to do is follow a few simple steps, and you can solve most basic equations. Let''s learn some handy tricks that can help us solve these basic equations.

## What are equations and solutions?

First, let''s review some basic terms:

• An "equation" is a mathematical statement that has an equal sign between two numerical or variable expressions.
• A "solution," or answer to the equation, is the value we can plug in for the variable, and this will leave us with a "true" statement.

## Examples of solved equations

Solving equations involves finding the value of the unknown variable that makes the equation true. Let''s take a look at some examples:
Example 1:

15 - x = 12

Now, subtract 12 from both sides:
15 - 12 = 12 + x - 12

This gives us:
3 = x

Example 2:
7y = 77

To solve for y, we can divide both sides of the equation by 7:
(7y) / 7 = 77 / 7

This simplifies to:
y = 11

Example 3:
4n-5= 15

4n-5+5=15+5
4n=20

Divide both sides by 4
n=20/4-5
n=5

These examples demonstrate the process of solving equations by isolating the variable on one side of the equation. The same basic principle applies to other operations such as addition, subtraction, multiplication, and division.

## Topics related to the Solving Equations: Basic

Solving One-Step Linear Equations

Solving One-Step Linear Equations: Multiplication

Solving One-Step Linear Equations: Division

## Flashcards covering the Solving Equations: Basic

Common Core: 8th Grade Math Flashcards

## Practice tests covering the Solving Equations: Basic

MAP 8th Grade Math Practice Tests