CPM Homework Help : CC3 Problem 3-14

tiles key Write the equation represented in each diagram below on your paper. For each part, simplify as much as possible and then solve for $x$ . Be sure to record your work on your paper. Explore using the 3-14a HW eTool (CPM) and 3-14b HW eTool (CPM). Homework Help ✎

Step 1 (a):
Write the original equation.
Step 2 (a):
Flip subtraction to addition.
Step 3 (a):
Remove zero pairs.
Step 4 (a):
Combine like terms.
Step 5 (a):
Remove an $x$ -tile from both sides.
Step 6 (a):
Add $2$ to both sides.
Step 7 (a):
Divide by $2$ on both sides.
$2x+3-(x-1)=2x-2-(-x)$
$2x+3+(−x)+1=2x+(−2)+x$
$2x+(−x)+3+1=2x+x+(−2)$
$x+3+1=2x+x+(−2)$
$x+4=3x−2$
$4=2x−2$
$6=2x$
Answer (a):
$3=x$

Hint (b):
Follow steps similar to part (a).

Use the eTools below to help solve the problems.
Click the link at right for the full version of the eTool: CC3 3-14a HW eTool

Click the link at right for the full version of the eTool: CC3 3-14b HW eTool