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Parentheses on Both Sides

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 58 of 61.

This chapter has four challenges, and each one uses ideas from several earlier chapters. The first equation has a bracket to open and $x$ on both sides. Distribute to open the bracket, gather the $x$ terms on one side, gather the numbers on the other side, then divide by the coefficient of $x$ .

Challenge

Medium

Solve the equation $3\left(2x-1\right) = 4x+7$ for $x$ .

Try it yourself

3\left(2x-1\right) = 4x+7

Get $x$ alone

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 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's Decimals on Both Sides The Story Problem