How do you solve $5+ 2x = 8- x$ ?

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Answer 1 · 2016-11-27T10:26:41

$x=1$

equation given $\rArr5+2x=8-x$

calculation

add $x$ to both sides $5+2x\color(red)(+x)=8\cancel(-x)\cancel(\color(red)(+x))$
simplify $5+3x=8$
subtract 5 from both sides $\cancel(5)\cancel(\color(olive)(-5))+3x=8\color(olive)(-5)$
simplify $3x=3$
divide both sides by 3 $(\cancel(3)x)/\cancel(\color(blue)(3))=3/\color(blue)(3)$
solution: $x=3/3=1$

checking
$5+2(1)\stackrel{?}{=}8-(1)$
$5+2\stackrel{?}{=}7$
$7=7\color(green)(\sqrt())$

How do you solve 5+ 2x = 8- x5+ 2x = 8- x?