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SOLVING EQUATIONS—VARIABLES ON BOTH SIDES #2--KEY

Directions: Solve for x in each equation below.  Use inverse operations to get the variable all by itself on one side of the equation, and then get the integers (numbers) alone on the other side of the equation.

Examples:    5x - 21 = 2x – 6        (add 21 to both sides)               5x - 12 = 2x - 9    (add 12 to both sides)

5x = 2x + 15      (subtract 2x from both sides)               5x = 2x + 3    (subtract 2x from both sides)

3x = 15              (divide both sides by 3)                   3x = 3            (divide both sides by 3)

x = 5                                                                     x = 1

1)  3x - 61 = 2x - 50                  2)  6x – 64 = 2x - 44                  3)  8x – 90 = 2x - 36                  4)  4x - 18 = x - 3

x  =      11___                         x  =      5 ___                          x  =       9 ___                          x  =       5___

5)  3x - 71 = 2x - 50                  6)  6x – 68 = 2x - 44                  7)  8x – 72 = 2x - 36                  8)  4x - 21 = x - 18

x  =      21___                         x  =      6___                          x  =       6 ___                          x  =       1___

9)  4x - 82 = 2x - 50                 10)  5x – 68 = 2x - 44                 11)  8x – 88 = 2x - 34                 12)  4x - 50 = 2x - 8

x  =      16___                         x  =      8 ___                          x  =       9 ___                          x  =       21__