Solving Equations2(5x +3) = 4x - 6

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How do we solve equations?2(5x +3) = 4x - 6

How do we solve equations?2(5x +3) = 4x - 6

• Distribute any terms that are outside of a set of parenthesis.2(5x +3) = 4x – 6

10x + 6 = 4x - 6

How do we solve equations?2(5x +3) = 4x - 6

• Combine any like terms that are on the same side of the equal sign.

10x + 6 = 4x – 6

No like terms!

How do we solve equations?2(5x +3) = 4x - 6

• Move all variables to one side of the equal sign.

10x + 6 = 4x – 6

-4x -4x

6x + 6 = -6

How do we solve equations?2(5x +3) = 4x - 6

• Move all terms that are “hanging out” to the other side of the equal sign.

6x + 6 = -6

-6 -6

6x = -12

How do we solve equations?2(5x +3) = 4x - 6

• Isolate the variable by undoing the operation that is associated with the variable.

6x = -126x = -12

6 6X = -2

Multiplication

Division undoes

How do we solve equations?2(5x +3) = 4x - 6

• Check your solution by replacing your answer!

2(5x +3) = 4x – 6

2(5·-2 + 3) = 4·-2 – 6

2(-10 + 3) = -8 – 6

2(-7) = -14

-14 = -14

It’s right!!

Try some of your own…

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Quiz Yourself

• Solving multi-step equations http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860390-0&chapter=3&lesson=4&headerFile=6&state=md

• Solving multi-step inequalities http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-07-860390-0&chapter=6&lesson=3&headerFile=6&state=md

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Now you’re an equation expert

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