Calculate: (p)/(2)-5=(3p)/(2)+7

Expression: $\frac{ p }{ 2 }-5=\frac{ 3p }{ 2 }+7$

Multiply both sides of the equation by $2$

$p-10=3p+14$

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

$p-10-3p=14$

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

$p-3p=14+10$

Collect like terms

$-2p=14+10$

Add the numbers

$-2p=24$

Divide both sides of the equation by $-2$

$p=-12$