Calculate: 5n+2=3n+14

Expression: $5n+2=3n+14$

Move the variable to the left-hand side and change its sign

$5n+2-3n=14$

Move the constant to the right-hand side and change its sign

$5n-3n=14-2$

Collect like terms

$2n=14-2$

Subtract the numbers

$2n=12$

Divide both sides of the equation by $2$

$n=6$