# If 5x-17+3x=3(5-2x) then what is the value of x?

Sep 28, 2016

$\frac{16}{7}$ or $2 \frac{2}{7}$

#### Explanation:

start off by writing
$5 x - 17 + 3 x = 3 \left(5 - 2 x\right)$

distribute
$5 x - 17 + 3 x = 15 - 6 x$

combine like terms
$8 x - 17 = 15 - 6 x$

add $17$ to both sides to get $8 x$ on its own side
$8 x = 32 - 6 x$

add $6 x$ to both sides
$14 x = 32$

divide both sides by $14$
$x = \frac{32}{14}$
(simplified to $\frac{16}{7}$ or $2 \frac{2}{7}$)