Solving equations with brackets

curriculum-key-fact
To expand a bracket, multiply everything inside the bracket by the number outside.

Example

Expand the bracket:

2(3a + 5)

Multiply everything inside the bracket by the number outside to give:

(2\times3a)+(2\times5)

Simplify this to:

6a + 10

Example

Expand:

-3(2b - 4)

Multiply everything inside the bracket by the number outside to give:

(-3\times2b)+(-3\times-4)

Simplify this to:

-6b + 12

Question

Solve the equation:

3(5x - 4) = 2(2x + 5)

First expand the brackets:

15x - 12 = 4x + 10

Then subtract 4x from both sides:

11x - 12 = 10

Add 12 to both sides:

11x = 22

And divide by 11 to give:

x = 2