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

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

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.}`

`\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}`