Question 337412
{{{2*abs(3X-7)=10X-8}}}
{{{abs(3X-7)=5X-4}}}
Two solutions:
{{{3X-7=5X-4}}} and {{{-(3X-7)=5X-4}}}
{{{-2X=3}}} and {{{-3X+7=5X-4}}}
{{{X=-3/2}}} and {{{-8X=-11}}}
{{{X=-3/2}}} and {{{X=11/8}}}
Verify the solutions.
{{{2*abs(3(-3/2)-7)=10(-3/2)-8}}}
Absolute value cannot return negative values so {{{X=-3/2}}} is not a solution.
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{{{2*abs(3(11/8)-7)=10(11/8)-8}}}
{{{2*abs(33/8-56/8)=110/8-64/8}}}
{{{2*abs(-23/8)=46/8}}}
{{{2*(23/8)=46/8}}}
{{{46/8=46/8}}}
Answer verified.
 {{{highlight(X=11/8)}}}
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{{{drawing(300,300,-2,8,-2,12,grid(1),circle(11/8,46/8,0.3),graph(300,300,-2,8,-2,12,2*abs(3x-7),10x-8))}}}