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Fractions and x's

Part of the Fundamentals section of Coddy's Math journey. Lesson 62 of 64.

The second challenge wraps the unknown in three layers: a multiplication, a division and a subtraction. Read them off before you move, then undo them from the outside in; or clear the fraction first by multiplying everything by its denominator. Two roads, one answer.

Challenge

Solve the equation 2x/3 - 1 = 5 for x.

Try it yourself

2x/3 - 1 = 5

Solve for x

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Fundamentals

1What an Equation Is

The Equation Finding the Unknown The Same to Both Sides Solved Means Alone Recap: First Equations

4Two-Step Equations

Two Layers to Undo Subtract, Then Divide Add, Then Divide A Division Inside Negatives in Two Steps Recap: Two-Step Equations

7Fractions in Equations

A Fraction Coefficient Clearing One Denominator Two Denominators A Fraction Around a Sum Cross-Multiplying Recap: Fractions

10From Words to Equations

Phrases into Expressions Sentences into Equations Consecutive Numbers Age and Money A Perimeter Problem Recap: Words

3Negative Numbers

Below Zero A Negative Answer Negative Coefficients The Opposite of x Recap: Negatives

6Variables on Both Sides

x on Both Sides Gathering the x's Numbers and x's Everywhere Parentheses on One Side When x Is Negative Recap: Both Sides

9Special Cases

No Solution Always True Checking a Solution Recap: Special Cases

12Final Challenges

Parentheses on Both SidesFractions and x'sDecimals on Both Sides The Story Problem