How Do You Solve a Two-Step Equation by Distributing a Fraction First?

How Do You Solve a Two-Step Equation by Distributing a Fraction First?

Note:

Trying to solve an equation for a variable? Are grouping symbols in the way? Watch this tutorial to figure out how remove the grouping symbols and solve the equation!

Keywords:

  • distribution
  • fractions
  • variables
  • multistep equation
  • reciprocals
  • fraction
  • cancel
  • cancel fraction
  • simplify
  • multiply by reciprocal
  • isolate variable
  • variable
  • reduce
  • reduce fraction
  • order of operations
  • order of operation
  • isolate
  • plug in

Background Tutorials

  • Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

  • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

      • What's a Reciprocal?What's a Reciprocal?

      What's a Reciprocal?

      Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.

  • 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).

      • 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.

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

      What's the Addition 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 addition property of equality, and it lets you add the same number to both sides of an equation. Watch the video to see it in action!

Further Exploration