Algebra and proofAdditional / Further Maths

Solving equations - with one bracket

Expand brackets, then solve by doing the same operation to both sides.

  • Keep the equation balanced: do the same operation to both sides.
  • The small bracketed labels show the operation applied to each side.
  • Expand each bracket carefully, then collect like terms.

Example 1

Solve the equation.

Expand the brackets, then collect like terms.

Example 2

Solve the equation.

Expand the brackets, then collect like terms.

Example 3

Solve the equation.

Expand the brackets, then collect like terms.

Example 4

Solve the equation.

Expand the brackets, then collect like terms.

Remember
The unknown can be on either side. Check by substituting into the original equation.

Your turn

Question 1

Solve the equation.

Check answer
Expand the brackets, then collect like terms.
Question 2

Solve the equation.

Check answer
Expand the brackets, then collect like terms.
Question 3

Solve the equation.

Check answer
Expand the brackets, then collect like terms.
Question 4

Solve the equation.

Check answer
Expand the brackets, then collect like terms.
Question 5

Solve the equation.

Check answer
Expand the brackets, then collect like terms.
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