30 - 5x < 2x + 3

August 26, 2026Mathematics

ScanSolve AI Answer

August 26, 2026

Answer

$x > \frac{27}{7}$

Let's solve this inequality.

Step 1: Gather all terms involving $x$ on one side and constant terms on the other side of the inequality. Subtract $2x$ from both sides: $30 - 5x - 2x < 3$ $30 - 7x < 3$ Subtract $30$ from both sides: $-7x < 3 - 30$ $-7x < -27$

Step 2: Isolate $x$ by dividing both sides by $-7$ . When dividing or multiplying an inequality by a negative number, remember to reverse the inequality sign. $\frac{-7x}{-7} > \frac{-27}{-7}$ $x > \frac{27}{7}$

The final answer is $\boxed{x > \frac{27}{7}}$ .

3 done, 2 left today. You're making progress.

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Quick Answer

Gather all terms involving x on one side and constant terms on the other side of the inequality.

Asked on August 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on August 26, 2026

Let's solve this inequality. Step 1: Gather all terms involving x on one side and constant terms on the other side of the inequality. Subtract 2x from both sides: 30 - 5x - 2x < 3 30 - 7x < 3 Subtract 30 from both sides: -7x < 3 - 30 -7x < -27 Step 2: Isolate x by dividing both sides by -7. When dividing or multiplying an inequality by a negative number, remember to reverse the inequality sign. (-7x)/(-7) > (-27)/(-7) x > (27)/(7) The final answer is x > (27)/(7). 3 done, 2 left today. You're making progress.