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4-5.
  1. Write the equation represented by the diagram below. 4-5 HW eTool (CPM). Homework Help ✎

    1. Simplify as much as possible and then solve for x.

    2. Check your solution.

Use the eTool to manipulate the Algebra tiles to help you with this problem.
Click the link at right for the full version of the eTool: AC 4-5 HW eTool

Be sure to know how to get this equation.

1 + (−3) − (−2x) = (−x) + (−3) − 2 − (x)

Change all subtraction to addition and combine like terms.

Add 2 to both sides.

Move the variable to one side of the equation.

1 + (−3) + 2x = (−x) + (−3) + (−2) + (−x)

−2 + 2x = −2x + (−5)

−2 + 2x = −2x + (−5)
+2 +2

2x = −2x + (−3)

2x = −2x + (−3)
+2x +2x

4x = −3

x = −0.75

Insert the number you got for x into your original equation to make sure it is correct.