Question

Solve each of the following equations and verify the answer in each case:
3(x + 2) − 2(x − 1) = 7

Answer 1

3(x + 2) − 2(x − 1) = 7
$\Rightarrow 3\times x+3\times 2-2\times x-2\times (-1)=7$ [On expanding the brackets]
or, 3x + 6 $-$2x + 2 = 7
or, x + 8 = 7
or, x + 8 $-$ 8 = 7 $-$ 8 [Subtracting 8 from both the sides]
or, x = $-$1
Verification:
Substituting x = $-$1 in the L.H.S.:
$$\begin{gathered} 3(-1+2)-2(-1-1) \\ or,3\left(1\right)-2(-2) \\ or,3+4=7=R.H.S. \end{gathered}$$
L.H.S. = R.H.S.
Hence, verified.