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

Question

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Answer 1 · 2018-05-03T22:00:48

Solution

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

Refine
$5 x + 782 = 2870$ $5x+782=2870$

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

Simplify
$5 x = 2088$ $5x=2088$

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

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

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

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