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Linear and Quadratic Equations · Question 3 of 66

Question 3

EasyOriginal question

Solve for xx: 3(2x−5)=4x+73(2x - 5) = 4x + 7.

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Expand the bracket: 6x−15=4x+76x - 15 = 4x + 7.

  2. Move terms: 6x−4x=7+156x - 4x = 7 + 15, so 2x=222x = 22.

  3. Hence x=11x = 11.

Worth noting

If the 3 multiplies only 2x2x (giving 6x−56x - 5), you get 6. The 3 must multiply every term inside the bracket.

Concept
Expanding a bracket before solving
Typical time
40 s
Your time
—
The rule this testsLinear equations in one variable
Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.