Can you solve this equation in less than 1 minute

Algebra Level 2

5 ( − 3 x − 2 ) − ( x − 3 ) = − 4 ( 4 x + 5 ) + 13 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

True for all +ve value of x All Real Numbers True for all -ve value of x None of the above

Avinash Kumar by Avinash kumar , 33, India

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1 solution

Nihar Mahajan
Sep 24, 2015

5 ( − 3 x − 2 ) − ( x − 3 ) = − 4 ( 4 x + 5 ) + 13 ⇒ − 15 x − 10 − x + 3 = − 16 x − 20 + 13 ⇒ − ̸ 15 x − 10 − x̸ + 3 = − ̸ 16 x − 20 + 13 ⇒ − 7 = − 7 → t r u e \Large{5(-3x - 2) - (x - 3) = -4(4x + 5) + 13\\ \Rightarrow -15x-10-x+3=-16x-20+13 \\ \Rightarrow -\not{15x}-10-\not{x}+3=-\not{16x}-20+13 \\ \Rightarrow -7=-7 \rightarrow true}

Since the variable term − 16 x -16x gets cancelled on both sides , the equation no more remains dependent on the value of x x and thus any real value can satisfy the given equation.

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yes, we get 0 = 0

Dev Sharma - 5 years, 8 months ago

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