Solve the equation. Also, verify the result.3 (x – 3) = 5 (2x + 1)

1.	Solve the equation. Also, verify the result.3 (x – 3) = 5 (2x + 1)
Answer» Given 3 (x – 3) = 5 (2x + 1) On simplifying the brackets we get, 3x – 9 = 10x + 5 Now transposing 10x to LHS and 9 to RHs 3x – 10x = 5 + 9 -7x = 14 Now dividing both sides by -7 we get -7x/-7 = 14/-7 x = -2 Verification: Substituting x = -2 in the given equation we get 3 (-2 – 3) = 5 (-4 + 1) 3 (-5) = 5 (-3) -15 = – 15 Thus LHS = RHS Hence, verified.

Answer»

Given 3 (x – 3) = 5 (2x + 1)

On simplifying the brackets we get,

3x – 9 = 10x + 5

Now transposing 10x to LHS and 9 to RHs

3x – 10x = 5 + 9

-7x = 14

Now dividing both sides by -7 we get

-7x/-7 = 14/-7

x = -2

Verification:

Substituting x = -2 in the given equation we get

3 (-2 – 3) = 5 (-4 + 1)

3 (-5) = 5 (-3)

-15 = – 15

Thus LHS = RHS

Hence, verified.

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