### Home > INT2 > Chapter 1 > Lesson 1.2.2 > Problem1-40

1-40.

Solve each equation below for $x$. Show all work and check your answer by substituting it back into the equation and verifying that it makes the equation true.

How can you re-write the equation without using fractions? Now, try to solve.

1. $\frac{x}{3}=6$

$x=6·3$
So, $x=18$

1. $\frac{5x+9}{2}=12$

$\begin{array}{l} 5x + 9 = 12(2)\\ \quad \;\;\, 5x = 24 - 9\\ \quad \;\;\, 5x = 15\\ \qquad \, x = 3 \end{array}$

1. $\frac{x}{4}=\frac{9}{6}$

Refer to the hint above.

1. $\frac{5}{x}=\frac{20}{8}$

Refer to the hint above.