### Home > INT3 > Chapter 6 > Lesson 6.2.1 > Problem6-41

6-41.

Jenna wants to solve the equation $\frac { 3 } { x - 2 } + \frac { 8 } { 10 } = \frac { x } { x - 2 }$.

1. She tries to eliminate the fractions by multiplying by $10$. Help Jenna do this. What is her new equation?

Multiply each term by $10$.

$\frac{30}{x-2}+8=\frac{10x}{x-2}$

2. Now what should she multiply by to eliminate the remaining fractions? Help Jenna do this and then solve for $x$. Check your answer.

What denominator remains?

She should multiply by $(x − 2)$.

$x = 7$