x Is Not Always the Answer

You'll learnto solve a linear equation while keeping both sides equal, then answer exactly what was asked.

Solving a linear equation is two disciplines stacked: keep both sides equal through every move, and then hand back the exact quantity the question named. Watch where careful solvers still lose the point — the factor that reaches only the first term, the minus sign that goes missing, and the correct value of x reported for a question that never asked for x.

8 STEPS · 6 QUICK CHECKS · do it to BOTH sides · answer the EXACT question · v3

both sides · every term

Before you start

What you're looking at

A balance beam: 3(x + 2) on the left, 2x + 11 on the right, beside a card of four solving moves.

The question

What is the value that makes both sides equal — and is that value what the question actually wants?

The finish line

Two separate boxes: the value you solve for is x · the quantity the item asks for may be 2x or x + 3. Keep them apart all the way to the last line.

Watch for

The beam must stay level through every move; keep the balance in mind as operations peel away one at a time.

What the symbols mean

The left pan holds one side of the equation, the right pan the other; a level beam means the two sides stay equal.

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