Question

What is the value of z in the equation 3z + 5 = 4z − 8

Answer 1

3z + 5 = 4z - 8
3z - 4z = -5 - 8
-1z = -13
-1/-1 (fraction) = -13/-1
z = 14

Answer 2

Answer:

$\huge{ \bold{ \boxed{ \tt{z = 13}}}}$

Step-by-step explanation:

$\text{3z + 5 = 4z - 8}$

$\text{Step \: 1 : Move \: 4z \: to \: left \: hand \: side \: and \: change \: its \: sign.}$

$\rm{↦3z - 4z + 5 = - 8}$

$\text{Step \: 2 : Move \: 5 \: to \: right \: hand \: side \: and \: change \: its \: sign}.$

$\rm{↦3z - 4z = - 8 - 5}$

$\text{Step \: 3 : Subtract \: 4z \: from \: 3z}$

$\rm{ ↦- z = -8 - 5}$

$\text{Step \: 4 : Add \: the \: numbers : 8 \: and \: 5 \: but \: keep \: the \: negative \: ( - ) \: sign.}$

$\text{Remember : The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}$

$\rm{ ↦- z = - 13}$

$\text{Step \: 5 : \: Cancel \: negative \:sign \: ( - ) \: on \: both \: sides}$

$\boxed{ ↦\rm{z = 13}}$

$\text{And ,\: we're \: done ! :D}$

$\text{Hope \: I \: helped!}$

$\text{Best \: regards!}$

~$\text{TheAnimeGirl}$