## Solving an equation with parentheses

Other equations are more difficult to solve. It’s difficult to solve (displaystyle 4left( frac13t+frac12right)=6) without writing anything down! This is due to the fact that this equation includes not only a variable, but also fractions and words enclosed in parentheses. This is a multi-step equation that must be solved in several steps. Multi-step equations take longer to solve and require more operations, but they can still be simplified and solved using simple algebraic rules.
Remember to think of an equation as a balance scale, with the intention of rewriting it to make it easier to solve while staying balanced. How do you keep the scale, or the equation, balanced? The addition and multiplication properties of equality illustrate how. When you perform an operation on one side of an equation, you can hold both sides of the equation equal by performing the same exact operation on the other side.
One of the vector terms must be “moved” to solve this equation. This can make choosing which side to work with difficult. It doesn’t matter which term is moved, (2x), but you can move the smaller term to prevent negative coefficients.

## Multistep equations with negatives and distribution

This unit contains vocabulary, flashcards, notes, videos, games, tasks, and quizzes, as well as a Final Test on how to solve multi-step equations. Throughout this unit, students should keep a notebook or online file with notes from each section.
Educators: Please go over each lesson thoroughly. Start at the beginning and work your way down through the notes, videos, homework, and quizzes. Each lesson must be completed and notes taken. You do not need to watch all of the videos in each lesson if you have any questions. Each lesson has more than one video to watch to help you with any questions. Each game in each class, as well as the homework and quizzes, must be completed. Take your time going over the lessons and have fun!
Students should be comfortable adding, subtracting, multiplying, and dividing positive and negative integers, as well as using the normal algebraic order of operations, simplifying variable expressions, and solving one-step equations. Students should be familiar with the distributive property and how to use it to simplify variable expressions. In previous classes, students learned about equations and how to solve equations with positive and negative coefficients. Wednesday, August 25, 2010, 8:52 a.m., last updated

### 508gm solve multi-step equations; negative coefficients

Why did you decide to conduct this operation in this particular step? Are you sure you did the same thing on both sides of your equation? Implications for Education Review the Distributive Property, order of operations conventions, and combining like words. Be sure to use terminology where the variable’s coefficient is 1 or -1. Include expressions like –(3x – 2) or 7 – (2x + 1) in which -1 can be distributed.
Make sure the student knows what solving an equation entails. Provide guidance on using the Addition, Subtraction, Multiplication, and Division Properties of Equality to solve equations if necessary. Model the order in which the properties should be used to solve equations for the student.

### Applying distributive property with a negative one to solve the

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