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

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Answer 1 · 2016-09-28T20:04:02

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

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

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

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

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

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

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

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