# How to Solve Equations with Brackets

## Solving Equations with Brackets

We can solve equations with brackets.

Imagine we wanted to solve the equation shown below.

## How to Solve Equations with Brackets

Solving equations with brackets is easy.

### Question

Solve **2(x + 1) = 6**.

There are two methods for solving the equation with brackets.

### Method 1

Solve **2(x + 1) = 6** by expanding the brackets first.

### Step-by-Step:

# 1

Expand the brackets on the left-hand side of the equation.

2(x + 1) = 2 × x + 2 × 1

**2x + 2**

**Don't forget:** Expand the brackets by multiplying each term inside the brackets with the term outside of it.

# 2

Solve the equation.

2x + 2 = 6 | |

2x + 2 − 2 = 6 − 2 |
Subtract 2 from both sides |

2x = 4 | |

2x ÷ 2 = 4 ÷ 2 |
Divide both sides by 2 |

x = 2 |

### Answer:

The solution to **2(x + 1) = 6** is **x = 2**.

### Method 2

Solve **2(x + 1) = 6** by dividing by the number in front of the brackets.

### Step-by-Step:

# 1

Divide both sides by the term in front of the brackets (2).

2(x + 1) **÷ 2** = 6 **÷ 2**

**x + 1 = 3**

# 2

Solve the equation.

x + 1 = 3 | |

x + 1 − 1 = 3 − 1 |
Subtract 1 from both sides |

x = 2 |

### Answer:

The solution to **2(x + 1) = 6** is **x = 2**.

Both methods give the same answer.