Solving with Brackets & Fractions

Clear denominators first, then expand brackets — reshape the equation into x=a step by step

Loading...

About This Practice

A complicated equation is like armor: brackets and denominators hide the x. The way to unwrap it is fixed — clear the denominators first (multiply both sides by the LCM), expand the brackets with the distributive law, then transpose (flipping signs), combine like terms, and scale the coefficient to 1 if needed. Step forward and back to watch the equation transform layer by layer until x steps out on its own.

Don't panic at brackets and fractions: multiply both sides by the LCM to clear denominators, use the distributive law to expand brackets, then transpose, combine, and scale to 1. Step forward/back through equations like 2(x−1)=x+3 or x/2+1=x/3+2, with randomized integer-solution problems.

HardEstimated Time: 15minexpand bracketsclear denominatorslinear equationssolving equationstransposing

How to Play

  1. Read the equation: find the two obstacles — brackets and denominators.
  2. If there are denominators, clear them first: multiply both sides by the LCM.
  3. Expand the brackets with the distributive law.
  4. Transpose (flip the signs), combine like terms, and scale to 1 if needed.
  5. Step through with Back/Next, see x=a at the end, then grab a new round.

Learning Objectives

More Practices in This Theme

Related Themes for This Grade

Solving with Brackets & Fractions - Expressions & Equations