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#