Question

(vi) 2(m + 1) = 3(m - 1)​

Answer 1

1. 2(m+1)=3(m-1)
2. 2m+2=3m-3
3. 2m-3m=-3+2
4. -m=-1
5. m=1

Answer 2

Solution :

$\begin{lgathered}\dashrightarrow\sf \: 2(m + 1) = 3(m - 1) \\ \dashrightarrow\sf \: 2m + 2 = 3m - 3 \\ \dashrightarrow\sf \: 2m - 3m = (-3) - 2 \\ \dashrightarrow\sf \: \cancel{-}m = \cancel{-}5 \\ \dashrightarrow\bf \: m = 5 \end{lgathered}$

Hence, m = 5.

Verification :

Substituting m = 5, we get

$\begin{lgathered}\dashrightarrow\sf 2(m + 1) = 3(m - 1) \\ \dashrightarrow\sf 2(5 + 1) = 3(5 - 1) \\ \dashrightarrow\sf 2(6) = 3(4) \\ \dashrightarrow\bf 12 = 12 \end{lgathered}$

Hence, verified. ☑️