`a)(19x+2.5^2):14=(13-8)^2-4^2`
`(19x+2.25):14=5^2-4^2`
`(19x+50):14=25-16`
`19x+50=9.14`
`19x=126-50`
`19x=76`
`x=4`
`b)(7x-11)^3=(-3)^2.15+208`
`(7x-11)^3=9.15+208`
`(7x-11)^3=135+208`
`(7x-11)^3=343`
`(7x-11)^3=7^3`
`7x-11=7`
`7x=18`
`x=18/7`
`c)|2x-7|=20+5(-3)`
`|2x-7|=20+(-15)`
`|2x-7|=5`
\(\left[ \begin{array}{l}2x-7=5\\2x-7=-5\end{array} \right.\)
\(\left[ \begin{array}{l}x=6\\x=1\end{array} \right.\)
`d)``(x-1/3)^2-1/4=0`
`(x-1/3)^2=1/4`
`x-1/3=±1/2`
\(\left[ \begin{array}{l}x-\dfrac{1}{3}=\dfrac{1}{2}\\x-\dfrac{1}{3}=-\dfrac{1}{2}\end{array} \right.\)
\(\left[ \begin{array}{l}x=\dfrac{5}{6}\\x=\dfrac{-1}{6}\end{array} \right.\)