Question

Answer 1

\(a,156-\left(x+61\right)=82\\ x+61=74\\ x=13\\ b,\left(x-35\right)+24=4\\ x-35=-20\\ x=15\\ c,124+\left(118-x\right)=217\\ 118-x=93\\ x=25\)

Answer 2

a) \(156-\left(x+61\right)=82\)
\(\Rightarrow x+61=156-82\)
\(\Rightarrow x+61=74\)
\(\Rightarrow x=74-61\)
\(\Rightarrow x=13\)
b) \(\left(x-35\right)+24=4\)
\(\Rightarrow x-35=24-4\)
\(\Rightarrow x-35=20\)
\(\Rightarrow x=35+20\)
\(\Rightarrow x=55\)
c) \(124+\left(118-x\right)=217\)
\(\Rightarrow118-x=217-124\)
\(\Rightarrow118-x=93\)
\(\Rightarrow x=118-93\)
\(\Rightarrow x=25\)

Answer 3

d) \(7x-38=-24\)
\(\Rightarrow7x=-24+38\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=14:7\)
\(\Rightarrow x=1\)
e) \(23+3x=5^6:6^3\)
\(\Rightarrow23+3x=5^3\)
\(\Rightarrow23+3x=125\)
\(\Rightarrow3x=125-23\)
\(\Rightarrow3x=102\)
\(\Rightarrow x=102:3\)
\(\Rightarrow x=34\)
f) \(5x+x=39-3^{11}:3^9\)
\(\Rightarrow x\times\left(5+1\right)=39-3^2\)
\(\Rightarrow x\times6=39-9\)
\(\Rightarrow x\times6=30\)
\(\Rightarrow x=30:6\)
\(\Rightarrow x=5\)