What is the solution to the linear equation 5(2x - 3) - 3(x + 4) = 43?
Answer and explanation
Correct answer: C. x = 10
- Step 1: Expand brackets: 10x - 15 - 3x - 12 = 43. Step 2. Combine like terms: 7x - 27 = 43. Step 3. Add 27 to both sides: 7x = 70 => x = 10. Answer: x = 10, expanding to 10x - 15 - 3x - 12 = 43 and solving 7x = 70. Why not the others: x = 8 results from miscalculating -15 - 12 as -3.
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