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Equations, Equations, Equations 3102.3.11 Solve multi-step linear equations with one variable. Solving Equations by Adding and Subtracting x – 8 = 17 + 8 = +8 x = 25 What happens when two signs are beside each other?? x + (-3) = -9 x - 3 = -9 + 3 = +3 x = -6 Do Leave, Change, Opposite The changes are in red! Now SOLVE!! Do the opposite & Add 3 to both sides! Try this one!! y – ( -8) = 15 y + 8 - 8 y = 15 -8 = 7 Solving Equations Using Multiplication and Division -5x = 25 -5 -5 x = -5 Try a Division Problem x 9 6 1 x = 54 Solving Two-Step Equations 5x + 2 = 27 - 2 = -2 5x = 25 5 5 x = 5 Try this one!! 6x + 9 = 27 - 9 = -9 6x = 18 6 6 x = 3 Try this one! x 8 2 3 + 8 = + 8 x 3 x = 6 = 1 18 Solving Equations with Variables on Both Sides 2x – 8 -x 1x - 8 + 8 1x = x + 17 -x = 17 = +8 = 25 or x = 25 Try this one! 3(5x + 2) = 2(3x – 6) 15x -6x 9x + 6 = 6x -6x + 6 - 6 = = = x = -2 9x 9 - 12 - 12 - 6 - 18 9