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3.4 Solve Equations with
Variables on Both Sides
Steps:
Step 1: Distribute
Step 2: Simplify each side
Step 3: Move the variable to one side
Step 4: Add or Subtract
Step 5: Multiply or Divide

*Get rid of a fraction, multiply by the
  reciprocal
Example 1    Solve an equation with variables on both sides

Solve 7 – 8x = 4x – 17.
Guided Practice      for Examples 1 and 2

Solve the equation. Check your solution.

1. 9 – 3k = 17 – 2k             ANSWER          –8


2. 3 – 4a = 5( a – 3 )          ANSWER          2

            2
3. 8y – 6 = ( 6y + 15 )         ANSWER          4
            3
Example 2       Multiple Choice Practice

                      1
The equation 6x – 5 = ( 16x + 60 ) is solved below.
                      4
STEP 1            6x – 5 = 4x + 15
STEP 2           10x – 5 = 15
STEP 3               10x = 20
STEP 4                 x =2

Which is the first incorrect step in the solution?

      Step 1       Step 2        Step 3        Step 4

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3.4 notes

  • 1. 3.4 Solve Equations with Variables on Both Sides
  • 2. Steps: Step 1: Distribute Step 2: Simplify each side Step 3: Move the variable to one side Step 4: Add or Subtract Step 5: Multiply or Divide *Get rid of a fraction, multiply by the reciprocal
  • 3. Example 1 Solve an equation with variables on both sides Solve 7 – 8x = 4x – 17.
  • 4. Guided Practice for Examples 1 and 2 Solve the equation. Check your solution. 1. 9 – 3k = 17 – 2k ANSWER –8 2. 3 – 4a = 5( a – 3 ) ANSWER 2 2 3. 8y – 6 = ( 6y + 15 ) ANSWER 4 3
  • 5. Example 2 Multiple Choice Practice 1 The equation 6x – 5 = ( 16x + 60 ) is solved below. 4 STEP 1 6x – 5 = 4x + 15 STEP 2 10x – 5 = 15 STEP 3 10x = 20 STEP 4 x =2 Which is the first incorrect step in the solution? Step 1 Step 2 Step 3 Step 4