### Home > AC > Chapter 7 > Lesson 7.3.1 > Problem7-88

7-88.

Solve each of the following equations for $x$.

1. $\frac{x}{6}=\frac{7}{3}$

Multiply both sides by $18$.

$(18)\frac{x}{6}=\frac{7}{3}(18)$

$3x = 42$

Divide both sides by $3$.

$x = 14$

Don't forget to check your solution!

1. $3x+2=7x−8$

Subtract $3x$ from both sides.

$\underline{3x + 2 = 7x − 8\\−3x\:\:\: = −3x}\\\:\:\:\:\:\:\:\:\:\: 2 = 4x − 8$

Add $8$ to both sides.

$\underline{\:\:\:\:2 = 4x − 8\\ +8 =\:\:\:\:\:\: +8}\\ \:\:10 = 4x$

Divide by $4$.

$x=\frac{10}{4}=\frac{5}{2}=2.5$

1. $\frac{6}{x}=\frac{4}{x+1}$
1. $6(x−4)=42$
Divide both sides by $6$.