Game: guide the equation through the next legal move. Each correct choice unlocks the next stage of the solve, just like a clean notebook line.

Walk 7 - 3(x - 2) = 2x + 1 to its solution.

Stage 1: what has to happen before the variable terms can be compared honestly?
Stage 2: after distribution, which cleanup makes the next balance move easiest to see?
Stage 3: from 13 - 3x = 2x + 1, which balance move gathers the variable on one side?
Stage 4: once the equation reads 13 = 5x + 1, what is the next honest line?
Stage 5: finish from 12 = 5x.

Algebra