# 6x=42-4(30/9) what is the answer to this?

Feb 27, 2018

$x = \frac{43}{9}$

#### Explanation:

$6 x = 42 - \frac{4}{1} \cdot \frac{30}{9}$

$6 x = 42 - 13.333 \ldots$

$6 x = 28.666 \ldots$

$x = \frac{28.666 \ldots}{6}$

$x = 4.777 \ldots$

Feb 27, 2018

$x = \frac{43}{9}$

#### Explanation:

We can start by distributing the $- 4$ to the terms in the parenthesis. With this, we get:

$6 x = 42 - \left(\frac{120}{9}\right)$

We can multiply $42$ by $9$ to get a common denominator. The new fraction will be $\frac{378}{9}$.

NOTE: If you don't believe me, try it out. You will see that $\frac{378}{9}$ is indeed $42$. Our new equation is:

$6 x = \frac{378}{9} - \frac{120}{9}$

We can subtract the numerators to simplify. We get:

$6 x = \frac{258}{9}$

We can divide by $6$ or multiply by $\frac{1}{6}$ on both sides to get:

$x = \frac{258}{54}$

This can be further simplified by dividing the numerator and denominator by $6$. We get:

$x = \frac{43}{9}$