Solve the equation. Also, verify the result.3x – 2 (2x -5) = 2 (x +

1.	Solve the equation. Also, verify the result.3x – 2 (2x -5) = 2 (x + 3) – 8
Answer» Given 3x – 2 (2x -5) = 2 (x + 3) – 8 On simplifying the brackets on both sides, we get 3x – 2 × 2x + 2 × 5 = 2 × x + 2 × 3 – 8 3x – 4x + 10 = 2x + 6 – 8 -x + 10 = 2x – 2 Transposing x to RHS and 2 to LHS, we get 10 + 2 = 2x + x 3x = 12 Dividing both sides by 3, we get 3x/3 = 12/3 x = 4 Verification: Substituting x = 4 on both sides, we get 3(4) – 2{2(4) – 5} = 2(4 + 3) – 8 12 – 2(8 – 5) = 14 – 8 12 – 6 = 6 6 = 6 Thus LHS = RHS Hence, verified.

Solve the equation. Also, verify the result.3x – 2 (2x -5) = 2 (x + 3) – 8

Answer»

Given 3x – 2 (2x -5) = 2 (x + 3) – 8

On simplifying the brackets on both sides, we get

3x – 2 × 2x + 2 × 5 = 2 × x + 2 × 3 – 8

3x – 4x + 10 = 2x + 6 – 8

-x + 10 = 2x – 2

Transposing x to RHS and 2 to LHS, we get

10 + 2 = 2x + x

3x = 12

Dividing both sides by 3, we get

3x/3 = 12/3

x = 4

Verification:

Substituting x = 4 on both sides, we get

3(4) – 2{2(4) – 5} = 2(4 + 3) – 8

12 – 2(8 – 5) = 14 – 8

12 – 6 = 6

6 = 6

Thus LHS = RHS

Hence, verified.