Solve the equations and check your answers:3 (x + 2) – 2 (x – 1) =

1.	Solve the equations and check your answers:3 (x + 2) – 2 (x – 1) = 7
Answer» Given 3 (x + 2) – 2 (x – 1) = 7 On simplifying the brackets, we get 3 × x + 3 × 2 – 2 × x + 2 × 1 = 7 3x + 6 – 2x + 2 = 7 3x – 2x + 6 + 2 = 7 x + 8 = 7 Subtracting 8 from both sides, we get x + 8 – 8 = 7 – 8 x = -1 Verification: Substituting x = -1 in LHS, we get 3 (x + 2) -2(x -1) = 7 3 (-1 + 2) -2(-1-1) = 7 (3×1) – (2×-2) = 7 3 + 4 = 7 Therefore LHS = RHS Hence, verified.

Solve the equations and check your answers:3 (x + 2) – 2 (x – 1) = 7

Answer»

Given 3 (x + 2) – 2 (x – 1) = 7

On simplifying the brackets, we get

3 × x + 3 × 2 – 2 × x + 2 × 1 = 7

3x + 6 – 2x + 2 = 7

3x – 2x + 6 + 2 = 7

x + 8 = 7

Subtracting 8 from both sides, we get

x + 8 – 8 = 7 – 8

x = -1

Verification:

Substituting x = -1 in LHS, we get

3 (x + 2) -2(x -1) = 7

3 (-1 + 2) -2(-1-1) = 7

(3×1) – (2×-2) = 7

3 + 4 = 7

Therefore LHS = RHS

Hence, verified.