Every two-step equation is the same two undos. Whatever was done to x last, you undo first — using the opposite, or "inverse", operation — and you do it to both sides.
The Two Moves
One — undo the adding or subtracting. If there's a + 3 next to the x, subtract 3 from both sides. If there's a − 3, add 3 to both sides. Opposite operation, both sides.
Two — undo the multiplying. Now you're left with something like 2x = 8. Multiplying built that, so dividing undoes it: ÷ 2 both sides, leaving x = 4.
A Worked One
Solve 2x + 3 = 11. Subtract 3 from both sides: 2x = 8. Divide both sides by 2: x = 4. Done. Add and subtract are a pair that cancel; multiply and divide are a pair that cancel — that's all "inverse operations" means.
Why This Order?
It's the reverse of BODMAS. When you build 2x + 3, you multiply then add — so to take it apart you subtract then divide, in the opposite order. That ordering is exactly where people slip, which is the whole next rung.