Solve the equation \(3(2x + 5) - 4 = 23\).

Assessment: Mathematics 0580 | Paper 1 Mock 01 | Non-calculator (Core) Subject: Mathematics - 0580

Question 1 Report

Solve the equation \(3(2x + 5) - 4 = 23\).

Answer Details

To solve an equation with a bracket and an extra constant term, expand the bracket first, then simplify and solve as usual.

Expanding \(3(2x + 5) - 4 = 23\) gives \(6x + 15 - 4 = 23\) [M1].

Simplifying the left side gives \(6x + 11 = 23\), so subtracting 11 from both sides gives \(6x = 12\) [M1].

Dividing both sides by 6 gives \(x = 2\) [A1].

Checking by substitution: \(3(2(2) + 5) - 4 = 3(9) - 4 = 23\), which confirms the solution.

Read lesson note on Equations (CIE)
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