Solving Two-Step Equations with Fractions! – CCSS.MATH.CONTENT.7.EE.B.3

To solve a two step equation with a fraction like the following:

(310)x + 5 = 11 you need to undo what has been done to the x using inverse operations. Think of it as going backwards while doing PEMDAS, or Order of Operations. So if I were to go backwards I would undo the addition first by completing the inverse operation, subtraction. So I would subtract 5 from both sides to get:

(310)x = 6

O.k. so now we have 310 being multiplied by x so to undo that we have to divide x by the reciprocal, which is 103. To get the reciprocal just remember to flip the numerator and denominator. O.k., so after doing that we have:

x = 603

Our last step is to simplify 603 to just 20, so:

x = 20!

And it is as simple as that!

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