Section 3.4 Solving Equations with Distribution on Both Sides

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Section 3.4Solving Equations with
Distribution on Both Sides

• Goal Solve equations that use the distributive
  property on both sides.

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Basics

• Distribute First!
• Simplify the expression (combine like terms)
• Goal Move the variable to the positive side
• Solve the Equation using Inverse Relationships
• Remember You always want to solve for the
  Variable, X ?

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Solve.
2x 4 5x - 17
2x 4 5x - 17
2x 4 5x - 17
-2x -2x
-5x -5x
4 3x - 17
-3x 4 -17
17 17
-4 -4
21 3x
-3x -21
3 3
-3 - 3
7 x
x 7
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Identify Number of Solutions
4 (1- x ) 3x -2(x 1)
4 - 4x 3x -2x - 2
4 x - 2x - 2
2x 2x
4 1x -2
-4 -4
x -6
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Solve.
4(x - 2) - 2x 5(x - 3)
4x - 8 - 2x 5x - 15
2x - 8 5x - 15
-2x -2x
-8 3x - 15
15 15
7 3x
3 3
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Use a variable equation to solve.
Find a number that is 20 more than 4 times its
opposite.
Let x the number -x the opposite
x 4(-x) 20
x -4x 20
4x 4x
5x 20
5 5
x 4
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Practice

• p 2p -3 6 4p
• -2y 3y 18 -5y
• 3 4(x 5) 31 10x
• Show All work
• USE YOUR NOTES

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Homework

• Worksheet
• Show all WORK
• Due on Friday, October 11!
• Extra 5 points if you turn in completed on
  Thursday, October 10!