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 (−27)/(−7) x > 27/7 The final answer is x > 27/7.

30 − 5x < 2x + 3

August 26, 2026Mathematics

ScanSolve AI Answer

Answer

x > \frac{27}{7}

Step-by-step solution

2 steps

Let's solve this inequality.

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:
$-7x < 3 - 30$ $-7x < -27$
Isolate $x$ by dividing both sides by $-7$ .
When dividing or multiplying an inequality by a negative number, remember to reverse the inequality sign.
$\frac{-7x}{-7} > \frac{-27}{-7}$ $x > \frac{27}{7}$