a) \(7-\left(18+x\right)=-15\)
\(\Leftrightarrow18+x=7+15\)
\(\Leftrightarrow18+x=22\)
\(\Leftrightarrow x=22-18\)
\(\Leftrightarrow x=4\)
b) \(\left(x-17\right)-\left(-3\right)=0\)
\(\Leftrightarrow\left(x-17\right)+3=0\)
\(\Leftrightarrow x-17=0-3\)
\(\Leftrightarrow x-17=-3\)
\(\Leftrightarrow x=-3+17\)
\(\Leftrightarrow x=14\)
c) \(-18-\left(x-6\right)=0\)
\(\Leftrightarrow x-6=0+\left(-18\right)\)
\(\Leftrightarrow x-6=-18\)
\(\Leftrightarrow x=-18+6\)
\(\Leftrightarrow x=-12\)
d) \(29-\left(10+29\right)=x-\left(27-9\right)\)
\(\Leftrightarrow29-10-29=x-27+9\)
\(\Leftrightarrow-10=x-27+9\)
\(\Leftrightarrow x-27=-10-9\)
\(\Leftrightarrow x-27=-19\)
\(\Leftrightarrow x=-19+27\)
\(\Leftrightarrow x=8\)
