CPM Homework Help : CC3 Problem 7-33

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Home > CC3 > Chapter 7 > Lesson 7.1.3 > Problem 7-33

7-33.

Solve each equation below for $x$ . Check your solution.

$\frac { 3 x } { 4 } - 2 ( 4 + 2 x ) = - \frac { 1 } { 2 } x + \frac { 1 } { 4 }$
Step 1 (a):
Multiply $(4+2x)$ by $−2$ .
Then, multiply everything by $4$ to get rid of the fractions.
$3x−32−16x=−2x+1$
Step 2 (a):
Combine like terms: $−11x=33$
Answer (a):
$x=−3$

$\frac { - 5 } { 3 } x + \frac { 2 } { 5 } - \frac { 1 } { 3 } x + 1 = 0$
Hint (b):
Multiply everything by $15$ to remove the fractions.

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