Question #1c608

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Answer 1 · 2018-01-23T05:53:47

$5 (x + 2) = 7 (4 - x)$ $5(x+2)=7(4−x)$
$5 x + 10 = 28 - 7 x$ $5x+10=28-7x$
$12 x = 18$ $12x=18$
$x = \frac{18}{12} = \frac{3}{2}$ $x=18/12=3/2$

Answer 2 · 2018-01-23T05:54:32

$5 (x + 2) = 7 (4 - x)$ $5(x+2)=7(4-x)$

Let's start with the distributive property

$(5) (x) + (5) (2) = (7) (4) + (7) (- x)$ $(5)(x)+(5)(2)=(7)(4)+(7)(-x)$

$5 x + 10 = 28 - 7 x$ $5x + 10 = 28 - 7x$

Transferring $- 7 x$ $-7x$ on the left side(don't forget to change the sign)

$5 x + 7 x + 10 = 28$ $5x + 7x + 10 = 28$

$12 x + 10 = 28$ $12x + 10 = 28$

Transferring $10$ $10$ on the right side

$12 x = 28 - 10$ $12x = 28 - 10$

$12 x = 18$ $12x = 18$

$x = \frac{18}{12}$ $x = 18/12$

$x = \frac{3}{2}$ $x=3/2$