How do you graph the function 2|x-1|-|2x+3|?

Algebra

See the graph and the explanation.

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##y=2|x-1|-|2x+3|## is the combined equation for the triad

##y=2(1-x)-(-(2x+3))=5, x<=-3/2,##

##y=2(1-x)-(2x+3)=-4x-1, -3/2<=x<=1 and##

##y=2(x-1)-(2x+3)=-5, x>=1##.

graph{2|x-1|-|2x+3| [-10, 10, -10, 10]}