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\frac{161}{7}=3x-1
Divide both sides by 7.
23=3x-1
Divide 161 by 7 to get 23.
3x-1=23
Swap sides so that all variable terms are on the left hand side.
3x=23+1
Add 1 to both sides.
3x=24
Add 23 and 1 to get 24.
x=\frac{24}{3}
Divide both sides by 3.
x=8
Divide 24 by 3 to get 8.