G8

Input/Model

(Teacher Presents)

Directions: Solve for the variable.

3 x + 2 = 2x ─ 2

Solution:

Be sure you understand the visual model above. Remember that 2x – 2 is the same as 2x + (─2)

Step 1: Remove 2 x’s from each side. Keep in mind what you do to one side, you must do to other. The
equation now shows:

Step 2: Move the integers to one side. Add 2 (─1) tiles to each side. This will cancel out the left side. The
right side now has 4 (─1) tiles.

Step 3: Solve x=-4

Answer: x= ─ 4

─ 4 – 6x = 2 – 5 x

Solution:

Step 1: Move the variables first. Choose to move the smaller variable, 5k, by adding it to both sides. The new
equation is ─ 4 ─ x =2

Step 2: Move the integers to the other side. Add 4 to each side. The new equation is: ─x = 6

Since the x is negative, divide each side by (─1) to make it positive.
Answer: x = ─ 6

x x x =^ x (^) x

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x

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x =^ ─
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Input/Model