### Home > CCA > Chapter 3 > Lesson 3.3.2 > Problem3-102

3-102.

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

1. $2(3x−4)=22$

• Distribute, then simplify.
$6x−8=22$

$6x=30$

$x=5$

1. $6(2x−5)=−(x+4)$

• 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.
$12x−30=−x−4$
$13x−30=−4$
$13x=26$

$x=2$

1. $2−(y+2)=3y$

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

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