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SOLVING EQUATIONS—VARIABLES ON BOTH SIDES #3

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 - 2 = x + 26        (add 2 to both sides)               5x + 12 = 2x - 9    (subtract  12 from  both sides)

5x = x + 28      (subtract x from both sides)                   5x = 2x - 21    (subtract 2x from both sides)

4x = 28              (divide both sides by 4)                   3x = -21            (divide both sides by 3)

x = 7                                                                     x = -7

1)  3x - 21 = 2x + 5                   2)  6x – 64 = 2x + 44                  3)  8x – 20 = 2x + 34                  4)  4x - 18 = x + 3

x  =  _________                        x  =  _________                        x  =  _________                         x  =  _________

5)  7x + 21 = 2x - 49                  6)  6x + 68 = 2x - 44                  7)  8x + 72 = 2x - 36                  8)  4x + 21 = x - 18

x  =  _________                        x  =  _________                        x  =  _________                         x  =  _________

9)  4x - 12 = 2x + 50                 10)  5x + 8 = 4x – 4                   11)  4x – 18 = 2x + 34                 12)  4x + 6 = 2x - 8

x  =  _________                        x  =  _________                        x  =  _________                         x  =  _________