Question:
Find \(x\): \(4(x - 2) = 3(x + 5)\).
Find \(x\): \(4(x - 2) = 3(x + 5)\).
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When solving linear equations, always expand brackets first, then collect like terms and isolate the variable.
Updated On: Apr 29, 2026
- \(23\)
- \(17\)
- \(13\)
- \(7\)
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The Correct Option is A
Solution and Explanation
Concept: To solve linear equations, expand the brackets and collect like terms on one side. A linear equation generally has the form: \[ ax + b = cx + d \] The goal is to isolate the variable \(x\).
Step 1: Expand both sides of the equation. \[ 4(x-2) = 3(x+5) \] \[ 4x - 8 = 3x + 15 \]
Step 2: Move the variable terms to one side. \[ 4x - 3x - 8 = 15 \] \[ x - 8 = 15 \]
Step 3: Isolate \(x\). \[ x = 15 + 8 \] \[ x = 23 \] Thus, the value of \(x\) is: \[ x = 23 \]
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