Question

Solve each of the following equations and verify the answer in each case:
3(2 − 5x) − 2(1 − 6x) = 1

Answer 1

3(2 − 5x) − 2(1 − 6x) = 1
or, 3 × 2 + 3 × (−5x) − 2 × 1 − 2 × (−6x) = 1 [On expanding the brackets]
or, 6 − 15x − 2 + 12x = 1
or, 4 - 3x = 1
or, 3 =3x
or, x = 1

Verification:
Substituting x = 1 in the L.H.S.:
$$\begin{gathered} 3(2-5\times 1)-2(1-6\times 1) \\ \Rightarrow 3(2-5)-2(1-6) \\ \Rightarrow 3(-3)-2(-5) \\ \Rightarrow -9+10=1=\mathrm{R}.\mathrm{H}.\mathrm{S}. \end{gathered}$$
L.H.S. = R.H.S.
Hence, verified.