CPM Homework Help : CC3 Problem 4-17

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4-17.

Simplify each of the following equations and solve for $x$ . Show all work and check your solution.

$7-3x=-x+1$
Hint (a):
Flip subtraction to addition. $7+-3x=-x+1$
More Help (a):
Now you have to choose!
Choice 1(a):
Add $x$ to both sides. $7+-2x=1$
Step 2(a):
Subtract $7$ from both sides. $−2x=−6$
Step 3(a):
Flip to positive. $2x=6$
Choice 2 (a):
Add $3x$ to both sides. $7=2x+1$
Step 2 (a):
Subtract $1$ from both sides. $2x=6$
Hint (Choices 1 and 2) (a):
Divide by $2$ on both sides.
Answer (a):
$x=3$
Remember! (a):
Check your work! Substitute your answer into the original equation.

$-2+3x=-(x+6)$
Hint (b):
See the hints in part (a).
Answer (b):
$−1$

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