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Fractions and x's

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 59 of 61.

The second challenge has a fraction. In $\frac{2x}{3}-1 = 5$ , the unknown is multiplied by 2, divided by 3, and then 1 is subtracted. You can undo those operations in reverse order. Or you can start by multiplying every term by the denominator, 3, to clear the fraction. Both methods leave $x$ on its own.

Challenge

Medium

Solve the equation $\frac{2x}{3}-1 = 5$ for $x$ .

Try it yourself

\frac{2x}{3}-1 = 5

Get $x$ alone

All lessons in Fundamentals

1What an Equation Is

The Equation The Same to Both Sides Undoing Subtraction 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