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Maths

More on equations

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Equations with brackets

To expand a bracket, multiply everything inside the bracket by the number outside.

Example

Expand this bracket: 2(3a + 5)
Multiply everything inside the bracket by the number outside to give:
2 × 3a + 2 × 5
Simplify this to
6a + 10

Example

Expand -3(2b - 4).
Multiply everything inside the bracket by the number outside to give
-3 × 2b + -3 × -4
Simplify this to
-6b + 12

Question

Solve the equation 3(5x - 4) = 2(2x + 5)

Answer

First expand the brackets
15x - 12 = 4x + 10
Subtract 4x from both sides
11x - 12 = 10
Add 12 to both sides
11x = 22
Divide by 11 to give
x = 2

Activity

More on equations activity

Balance your revision with this activity.

Play

Elemental

Can you conquer the elements?

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