Question #d9fd2

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Answer 1 · 2016-09-30T04:49:21

$x = 7$ $x=7$

start off by writing out
$\frac{1}{2} (2 x + 4) - 2 x = - 5$ $1/2(2x+4)-2x=-5$

distribute
$(\frac{1}{2}) (2 x)$ $(1/2)(2x)$
$(\frac{1}{2}) (4)$ $(1/2)(4)$

you get
$1 x + 2$ $1x+2$

you now have
$1 x + 2 - 2 x = - 5$ $1x+2-2x=-5$

combine like terms
$- 1 x + 2 = - 5$ $-1x+2=-5$

subtract $2$ $2$ from both sides
$- 1 x = - 7$ $-1x=-7$

divide each side by $- 1$ $-1$
you get
x=7

TO CHECK, plug in $7$ $7$ for $x$ $x$