Solve: – 4(x – 1) = 16 – InterviewSolution

1.	Solve: – 4(x – 1) = 16
Answer» – 4(x – 1) = 16 ⇒ 4x + 4 = 16 (Distributive property) ⇒ – 4x + 4 – 4 = 16 – 4 (Subtract both sides ‘4’) ⇒ – 4x = 12 ⇒ (- 4x) × (- 1) = 12 × (- 1) (Multiply with ‘- 1 ‘on both sides) ⇒ 4x = – 12 ⇒ 4x/4 = -12/4 (Divide both sides by ‘4’) ⇒ x = – 3 Check: Substitute x = – 3 in the given equation. LHS = – 4(x – 1) = – 4(- 3 – 1) = – 4 (- 4) = 16 = RHS Hence verified.

Solve: – 4(x – 1) = 16

Answer»

– 4(x – 1) = 16

⇒ 4x + 4 = 16 (Distributive property)

⇒ – 4x + 4 – 4 = 16 – 4 (Subtract both sides ‘4’)

⇒ – 4x = 12

⇒ (- 4x) × (- 1) = 12 × (- 1) (Multiply with ‘- 1 ‘on both sides)

⇒ 4x = – 12

⇒ 4x/4 = -12/4 (Divide both sides by ‘4’)

⇒ x = – 3

Check:

Substitute x = – 3 in the given equation.

LHS = – 4(x – 1)

= – 4(- 3 – 1)

= – 4 (- 4) = 16

= RHS

Hence verified.