Question

-3+4|2x-5|=14solve the equation

Answer 1

`\begin{gathered} -3+4|2x-5|=14 \\ -3+4\mleft|2x-5\mright|+3=14+3 \\ 4\mleft|2x-5\mright|=17 \\ (4\left|2x-5\right|)/(4)=(17)/(4) \\ \mleft|2x-5\mright|=(17)/(4) \\ 2x-5=-(17)/(4)\quad \mathrm{or}\quad \: 2x-5=(17)/(4) \end{gathered}`

then

`\begin{gathered} 2x-5=(17)/(4) \\ 2x-5+5=(17)/(4)+5 \\ 2x=(37)/(2) \\ (2x)/(2)=(37)/(2)(\cdot)/(\cdot)2 \\ x=(37)/(4) \end{gathered}`

answer: x = 37/4 and x = 3/8