Home > AC > Chapter 11 > Lesson 11.1.5 > Problem11-59

11-59.

Solve each equation below for the given variable. Be sure to check your solution.

1. $6x − 11 = 3x + 16$

Add $11$ to both sides.

$6x = 3x + 27$

Subtract 3x from both sides.

$3x = 27$

Solve for $x$.

$x = 9$

1. $− 2\left(5 − 3x\right) + 5 = 9 + 3x$

Distribute the $−2$.

Follow the steps in part (a).

1. $\frac { 6 } { k - 2 } = 10$

Multiply both sides by a common factor of the denominators to remove the fractions.

$6 = 10\left(k − 2\right)$

Follow the steps in part (b).

1. $\frac { 4 } { 3 x - 1 } = \frac { 2 } { x + 3 }$

Follow the steps in part (c).

$x = 7$