CPM Homework Help : CCA Problem 3-102

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3-102.

Solve each of the following equations. 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):
$x=2$

Hint (c & d):

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

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

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

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