How Do You Solve an Equation with Variables on Both Sides and Grouping Symbols?

How Do You Solve an Equation with Variables on Both Sides and Grouping Symbols?

Note:

Trying to solve an equation with variables on both sides of the equal sign and grouping symbols? Watch this tutorial to figure out how remove the grouping symbols and get those variables together to solve the equation.

Keywords:

  • problem
  • grouping
  • variables
  • parenthesis
  • distributive
  • distribution
  • like terms
  • distributive property
  • simplify
  • numerical terms
  • group variables
  • order of operations
  • order of operation
  • plug in
  • check answer
  • isolate variable
  • isolate
  • simplify expression

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • How Do You Evaluate an Algebraic Expression?How Do You Evaluate an Algebraic Expression?

      How Do You Evaluate an Algebraic Expression?

      Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Apply the properties of operations to generate equivalent expressions.

      • How Do You Use the Distributive Property to Simplify an Expression?How Do You Use the Distributive Property to Simplify an Expression?

      How Do You Use the Distributive Property to Simplify an Expression?

      In this tutorial you'll see how to apply the distributive property. Remember that this is important when you are trying to simplify an expression and get rid of parentheses!

      • What is the Distributive Property?What is the Distributive Property?

      What is the Distributive Property?

      The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!

  • Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

      • What's the Division Property of Equality?What's the Division Property of Equality?

      What's the Division Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the division property of equality, and it lets you divide both sides of an equation by the same number. Watch the video to see it in action!

  • Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

Further Exploration

  • Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.