Question

Solve the equation and check the result : 3(p – 7) – 4 = 5

Answer 1

Given 3(p – 7) – 4 = 5 

⇒ 3(p – 7) – 4 + 4 = 5 + 4 (Add 4 on both sides) 

⇒ 3(p – 7) = 9

\(\frac {3(p-7)}{3} = \frac 93\) (Divide by 3 on both sides) 

⇒ p – 7 = 3 

⇒ p – 7 + 7 = 3 + 7 (Add 7 on both sides) 

⇒ p = 10 

Check: 

Substitute p = 10 in 

3(p – 7) – 4 = 5

LHS = 3(p – 7) – 4. 

= 3(10 – 7) – 4. 

= 3 × 3 – 4 

= 9 – 4 = 5 = RHS 

Hence verified.