# How do you solve (5x-3)/2=3x+8?

Mar 17, 2018

$x = - 19$

#### Explanation:

$\frac{5 x - 3}{2} = 3 x + 8$

Let's get rid of the $2$ in the denominator. No one likes fractions after all. So times $2$ on both sides.
On the right side, the $2$ disappears, since $2 \times \frac{1}{2} = 1$. On the left side, $3 x \times 2 = 6 x \mathmr{and} 8 \times 2 = 16.$

Now you have:
$5 x - 3 = 6 x + 16$

Subtract $5 x$ on both sides.

On the left side, we have $5 x - 5 x = 0$. The right side is $6 x - 5 x = x$.

Now we have:
$- 3 = x + 16$

Subtract $16$ on both sides so we can get $x$.

On the right side, we have $16 - 16 = 0$. On the left side, we have $- 3 - 16 = - 19.$

Therefore, $x = - 19$.

Hope this helps! :)