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Lesson eLearning

Solve the linear equation $4 (2 x - 1) = 3 x + 5$ .

medium 2 marks Class 8 · Mathematics · Linear Equations in One Variable

Answer

9/5

The correct answer is 9/5 — Divide by $5$ to find $x$ : $x = 9/5$

Step-by-step solution

Expand the left side: $4 (2 x - 1) = 8 x - 4$
Set the expanded form equal to the right side: $8 x - 4 = 3 x + 5$
Collect like terms: $8 x - 3 x = 5 + 4$
Simplify: $5 x = 9$
Divide by $5$ to find $x$ : $x = 9/5$

Common mistake: Neglecting to distribute the coefficient on the left side

Concept tested: Linear equation with distribution

Published 4 October 2026 · How this solution was prepared and checked

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