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Equations with parentheses and rational coefficients

Mathematics — first biennium · Lesson

Equations · 6

Simplify first, then isolate x

When parentheses or fractional coefficients appear, do not apply mechanical rules immediately. First simplify both sides: use the distributive property, combine like terms and keep fractions exact. Then apply the equivalence principles.

Formula matematica
Formula matematica
What you need to know before the exercises

In this lesson: Simplify parentheses and rational coefficients before applying equivalence principles and solving the equation.

You can already assume: Simple linear equations, polynomials, distribution and fractions.

Try it now

Simplify and solve

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Expand any parentheses and combine like terms.
  2. Remove the constant term with the first principle.
  3. Remove the coefficient of x with the second principle and keep fractions exact.
Formula matematica
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What you need to know for Equations with parentheses and rational coefficients

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