Solve for x: 4x - 5 = 3x + 9

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Solve for x: 4x - 5 = 3x + 9

Explanation:
Solving a linear equation means getting the variable by itself on one side using inverse operations. Start with 4x - 5 = 3x + 9. Move the x-term on the right to the left by subtracting 3x from both sides: 4x - 3x - 5 = 9, which simplifies to x - 5 = 9. Then isolate x by adding 5 to both sides: x = 14. You can check by substitution: substitute 14 for x, giving 4(14) - 5 = 56 - 5 = 51 on the left, and 3(14) + 9 = 42 + 9 = 51 on the right. Both sides match, so x = 14 is the solution.

Solving a linear equation means getting the variable by itself on one side using inverse operations. Start with 4x - 5 = 3x + 9. Move the x-term on the right to the left by subtracting 3x from both sides: 4x - 3x - 5 = 9, which simplifies to x - 5 = 9. Then isolate x by adding 5 to both sides: x = 14.

You can check by substitution: substitute 14 for x, giving 4(14) - 5 = 56 - 5 = 51 on the left, and 3(14) + 9 = 42 + 9 = 51 on the right. Both sides match, so x = 14 is the solution.

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