a. \(\left|2x-1\right|=\left|-7\right|\)
\(\Rightarrow\left|2x-1\right|=7\)
\(\Rightarrow2x-1=7\) hoặc \(2x-1=-7\)
+) Nếu \(2x-1=7\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=4\)
+) Nếu \(2x-1=-7\)
\(\Rightarrow2x=-6\)
\(\Rightarrow x=-6:2\)
\(\Rightarrow x=-3\)
Vậy \(x=4;x=-3\)
b. \(\left|x+5\right|=0\)
\(\Rightarrow x+5=0\)
\(\Rightarrow x=-5\)
c. \(8x-75=5x+21\)
\(\Rightarrow8x-5x=21+75\)
\(\Rightarrow3x=96\)
\(\Rightarrow x=96:3\)
\(\Rightarrow x=32\)
d. \(9x+25=-\left(2x-58\right)\)
\(\Rightarrow9x+25=-2x+58\)
\(\Rightarrow9x+2x=58-25\)
\(\Rightarrow11x=33\)
\(\Rightarrow x=3\)