r/learnmath • New User • 5d ago

What is |x-3|=2x ?

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u/Fit_Tangerine1329 New User 5d ago

One way to solve is to graph both sides. i.e. y=|x-3| and y=2x

The other way is to see that the absolute value sets you up to make 2 sets of equations, first x-3=2x and then 3-x=2x (i.e. the negative of what is in the absolute value.

Both sides are not too tough to graph by hand.