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

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

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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