CPM Homework Help : INT1 Problem 3-141

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3-141.

Solve each of the following equations. Explain or justify each of your steps. Be sure to show your work carefully and check your answers.

$2(3x-4)=22$

Hint (a):
Distribute, then simplify.
$6x - 8 = 22$
$6x = 30$
Answer (a):
$x = 5$

$6(2x-5)=-(x+4)$

Hint (b):
Begin this problem by distributing the $6$ and the negative that are outside of the parentheses, then simplify by isolating the variable onto one side of the equation.
$12x − 30 = −x − 4$
$13x − 30 = −4$
$13x = 26$
Answer (b):
$x = 2$

$2-(y+2)=3y$

$3+4(x+1)=159$

Hint (c & d):
Use the same methods outlined in parts (a) and (b) to solve parts (c) and (d). Check your answer.

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