### Home > CC3 > Chapter 4 > Lesson 4.1.1 > Problem4-9

4-9.

Write the equation represented by the diagram at right. Explore using the

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

Change all subtraction to addition.

Combine like terms

Add 2 to both sides.

Move the variable to one side of the equation.

$1+(−3)+2x=(−x)+(−3)+(−2)+(−x)$

$−2+2x=−2x+(−5)$

$−2+2x=−2x+(−5)$
$+2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +2$

$2x=−2x+(−3)$

$2x=−2x+(−3)$
$+2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +2$

$4x=−3$

$x=−0.75$

2. Check your solution.

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

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: 4-9 HW eTool

Be sure to know how to get this equation.

$1+(−3)−(−2x)=(−x)+(−3)−2−(x)$