Math Calculators, Lessons and Formulas

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Solving Equations: (lesson 1 of 4)

## Solving Linear Equations

### Equations with no parentheses

Example 1

Solve 5x - 4 - 2x + 3 = -7 - 3x + 5 + 2x

Solution 1

 Step 1: Combine the similar terms Step 2: Add x to both sides. Step 3: Add 1 to both sides. Step 4: Divide both sides by 4: Solution is:

Exercise 1: Solve equations

Level 1

Level 2

### Equations with parentheses

Example 2

Solve

Solution 2

 Step 1: Simplify both sides: Step 2: Subtract x from both sides. Step 3: Divide both sides by -3: Solution is:

Exercise 2: Solve equations

Level 1

Level 2

### Equations containing fractions

Example 3

Solve

Solution 3

 Step 1: Multiply both sides by the LCD. Lowest common multiple of 2 and 3 is 6. So, we multiply both sides by 6. Step 2: Remove brackets: Step3: This problem is similar the previous Solution is:

Exercise 3: Solve equations

Level 1

Level 2

### More Complicated Example

Example 4

Solution 4

In this case the LCD is (x + 2)(x - 10). Here is the complete solution to this problem.

### Much more Complicated Example

Example 5

Solution 4

The first step is to factor the denominators

The LCD is (x + 3)(x + 2). The solution is:

Exercise 4: Solve equations

Level 1

Level 2