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3x + 4 = 19

EQ002 · Equations & inequalities · Classes 7–9

Two-step linear equations

A two-step equation undoes two operations in reverse order: first the adding or subtracting, then the multiplying or dividing.

📐 Formula

ax + b = c ⇒ x = (c − b)/a

✏️ Worked example

3x + 4 = 19: take 4 from both sides (3x = 15), then divide by 3: x = 5.

🌍 Where it is used

Taxi fare: ₹4 fixed + ₹3 per km = ₹19. How many km?

❓ Quick check

Solve 2x + 1 = 9.

🏋️ Practice

Easy4x − 3 = 13

Answer: x = 4

Medium5x + 2 = 2

Answer: x = 0

Challenge7 − 2x = 1

Answer: x = 3