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Multi-step equations

Solve equations with brackets on one side, and equations with variables on both sides.

Worked examples

Solving an equation with brackets on one side

Straightforward

Problem

Solve 3(x+2)=153(x + 2) = 15.

Solving an equation with variables on both sides

Moderate

Problem

Solve 5x−3=2x+95x - 3 = 2x + 9.

Solving an equation with brackets on both sides

Challenging

Problem

Solve 2(x+4)=3(x−1)2(x + 4) = 3(x - 1).

Practise

Q1·Straightforward
Solve 3(x+2)=153(x + 2) = 15.
Q2·Straightforward
Solve 4(x−1)=204(x - 1) = 20.
Q3·Straightforward
Solve 2(3x+1)=142(3x + 1) = 14.
Q4·Straightforward
Solve 5(x+3)=355(x + 3) = 35.
Q5·Moderate
Solve 5x−3=2x+95x - 3 = 2x + 9.
Q6·Moderate
Solve 7x−5=4x+107x - 5 = 4x + 10.
Q7·Moderate
Solve 4x+7=x+164x + 7 = x + 16.
Q8·Moderate
Solve 9x−2=6x+169x - 2 = 6x + 16.
Q9·Challenging
Solve 2(x+4)=3(x−1)2(x + 4) = 3(x - 1).
Q10·Challenging
Solve 4(x+2)=2(x+8)4(x + 2) = 2(x + 8).
Q11·Challenging
Solve 3(2x−1)=5(x+1)3(2x - 1) = 5(x + 1).
Q12·Challenging
Solve 5(x−2)=2(2x+1)5(x - 2) = 2(2x + 1).