Solve the equations and check your answers:5 (x – 2) + 3 (x +1) = 25

1.	Solve the equations and check your answers:5 (x – 2) + 3 (x +1) = 25
Answer» Given 5 (x – 2) + 3 (x +1) = 25 On simplifying the brackets, we get (5 × x) – (5 × 2) +3 × x + 3× 1 = 25 5x – 10 + 3x + 3 = 25 5x + 3x – 10 + 3 = 25 8x – 7 = 25 Adding 7 to both sides, we get 8x – 7 + 7 = 25 + 7 8x = 32 Dividing both sides by 8, we get 8x/8 = 32/8 x = 4 Verification: Substituting x = 4 in LHS, we get 5(4 – 2) + 3(4 + 1) = 25 5(2) + 3(5) = 25 10 + 15 = 25 25 = 25 Therefore LHS = RHS Hence, verified.

Answer»

Given 5 (x – 2) + 3 (x +1) = 25

On simplifying the brackets, we get

(5 × x) – (5 × 2) +3 × x + 3× 1 = 25

5x – 10 + 3x + 3 = 25

5x + 3x – 10 + 3 = 25

8x – 7 = 25

Adding 7 to both sides, we get

8x – 7 + 7 = 25 + 7

8x = 32

Dividing both sides by 8, we get

8x/8 = 32/8

x = 4

Verification:

Substituting x = 4 in LHS, we get

5(4 – 2) + 3(4 + 1) = 25

5(2) + 3(5) = 25

10 + 15 = 25

25 = 25

Therefore LHS = RHS

Hence, verified.

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