How do you solve $0.2n+3=8.6$ ?

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Answer 1 · 2018-03-02T21:31:40

$n=28$

$0.2n+3=8.6$
subtract 3
$0.2n=8.6-3$
simplify $8.6-3$
$0.2n=5.6$
divide by 0.2
$n=28$

Answer 2 · 2018-03-02T21:45:14

Or if decimals give you a problem get rid of them.

$n=28$

Given: $0.2n+3=8.6$

Multiply everything on both sides of the equals by 10

$2n+30=86$

Subtract 30 from both sides

$2n=56$

Divide both sides by 2

$n=28$
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$color(blue)("Check")$

$color(green)(2color(red)(n)+3=8.6 color(white)("d") ->color(white)("d")(0.2color(red)(xx28)) + 3->?->8.6$

But $0.2xx28$ is the same as $2xx2.8=5.6$

$color(green)(color(white)("ddddddddddd")->color(white)("d")5.6+3=8.6)color(white)("d")$ as required

How do you solve 0.2n+3=8.60.2n+3=8.6?