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Negatives in Two Steps

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 18 of 61.

5−2x=115-2x = 11 looks different because the unknown comes second, but the operations are the same. xx is multiplied by −2-2, and then 5 is added. Subtract 5 from both sides, then divide both sides by −2-2:

−2x=6-2x = 6

x=−3x = -3

Check: 5−2⋅(−3)=5+6=115-2\cdot \left(-3\right) = 5+6 = 11, which is true.

Read 5−2x5-2x as 5−2x5-2x. The coefficient of xx is −2-2, including its sign. Divide by −2-2, not by 2, and the answer comes out with the correct sign.

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Challenge

Easy

Solve the equation 7−3x=227-3x = 22 for xx.

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7−3x=227-3x = 22

Get xx alone

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