Question 174183


{{{abs(-4x+10)=0}}} Start with the given equation



Break up the absolute value (remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}})


{{{-4x+10=0}}} or {{{-4x+10=0}}} Set the expression {{{-4x+10}}} equal to the original value 0 and it's opposite 0





Now lets focus on the first equation  {{{-4x+10=0}}}



{{{-4x=0-10}}}Subtract 10 from both sides



{{{-4x=-10}}} Combine like terms on the right side



{{{x=(-10)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=5/2}}} Reduce





<hr>


Now lets focus on the second equation {{{-4x+10=0}}}




{{{-4x=0-10}}}Subtract 10 from both sides



{{{-4x=-10}}} Combine like terms on the right side



{{{x=(-10)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=5/2}}} Reduce






So the solution is:


{{{x=5/2}}}