## Pages

### Solved Example 1

2x + 3 = 6

### Solution

Solve the equation. Subtract 3 from both sides of the equation,
2x + 3 - 3 = 6 - 3
2x = 3
Divide throughout by 2,
(2x)/2 = 3/2
x = 3/2
Mark x = 3/2 = 1.5 on a number line,
 Solution of 2x + 3 = 6

### Solved Example 2

4x + 1 = 5x + 2

### Solution

Solve the equation. Subtract 1 from both sides of the equation,
4x + 1 - 1 = 5x + 2 - 1
Simplify,
4x = 5x + 1
Subtract 5x from both sides of the equation,
4x - 5x = 5x + 1 - 5x
-x =1
Multiply throughout by -1,
-1 * -x = -1 * 1
x = -1
Mark x = -1 on a number line,
 Solution of 4x + 1 = 5x + 2

### Solved Example 3

x/2 = x/3 + 3

### Solution

First, solve the equation. Subtract x/3 from both sides of the equation,
x/2 - x/3 = x/3 + 3 - x/3
Simplify,
x/6 = 3
Multiply throughout by 6,
x/6 * 6 = 3 * 6
x = 18
Now mark 18 on a number line.
 Solution of x/2 = x/3 + 3

### Solved Example 4

3x + 2 = 4x - 15

### Solution

Solve the equation. Subtract 2 from both sides of the equation,
3x + 2 - 2 = 4x - 15 - 2
Simplify,
3x = 4x - 17
Subtract 4x from both sides of the equation,
3x - 4x = 4x - 17 - 4x
Simplify,
-x = -17
Multiply throughout by -1,
-x * -1 = -17 * -1
x = 17
Mark x = 17 on a number line.
 Solution of 3x + 2 = 4x - 15

### Solved Example 5

x + 2 = 3

### Solution

Solve the equation. Subtract 2 from both sides of the equation,
x + 2 - 2 = 3 - 2
Simplify,
x = 1
Graph x = 1 on a number line.
 Solution of x + 2 = 3