Question

Solve each of the following equations. Also, verify the result in each case.
2(5x − 3) − 3(2x − 1) = 9

Answer 1

We have
⇒2(5x − 3) − 3(2x − 1) = 9
Expanding the brackets, we get
⇒ $2\times 5x-2\times 3-3\times 2x+3\times 1=9$
⇒ 10x − 6 − 6x + 3 = 9
⇒ 10x − 6x − 6 + 3 = 9
⇒ 4x − 3 = 9
Adding 3 to both sides, we get
⇒ 4x − 3 + 3= 9 + 3
⇒ 4x = 12
Dividing both sides by 4, we get
⇒ $\frac{4x}{4}=\frac{12}{4}$
⇒ Thus, x = 3.
Verification:
Substituting x =3 in LHS, we get
=2(5$\times$3 − 3) − 3(2$\times$3 − 1)
=2$\times$12 − 3 $\times$ 5
=24 − 15
= 9
LHS = RHS

Hence, verified.