How do you solve $0.5x +78.2 = 287$ ?

Question

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Answer 1 · 2018-05-03T22:00:48

Solution

Multiply both sides by $10$
$0.5x\cdot \10+78.2\cdot \10=287\cdot \10$

Refine
$5x+782=2870$

Subtract $782$ from both sides
$5x+782-782=2870-782$

Simplify
$5x=2088$

Divide both sides by $5$
$\frac{5x}{5}=\frac{2088}{5}$

Simplify
$x=\frac{2088}{5}$

Final Solution
$x=\frac{2088}{5}$ or $x=417.6$

How do you solve 0.5x +78.2 = 2870.5x +78.2 = 287?