CPM Homework Help : AC Problem 4-32

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Home > AC > Chapter 4 > Lesson 4.1.4 > Problem 4-32

4-32.

For each equation below, solve for $x$ . Check your solution, if possible, and show all work.

$3x-6+1=-2x-5+5x$
Step 1 (a):
Combine like terms.
Step 2 (a):
$3x-5=3x-5$
Add $5$ to both sides.
Step 3 (a):
$3x-5=3x-5$
$\ \ \ +5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +5$
$3x=3x$
Answer (a):
Since $3x$ is always equal to $3x$ , any number makes this statement true.

$-2x-5=2-4x-(x-1)$
Hint (b):
Follow the steps in part (a).
Answer (b):
$x=\frac{8}{3}$

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