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Solve the linear equation $x + 7 − 8 x 3 = 176 − 5 x 2$ .

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x=-5

x=2

x=5

x=-4

answer is A.

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Detailed Solution

Given,

x + 7 − 8 x 3 = 176 − 5 x 2

.
Solving for the value of x,
Transposing

− 5 x 2

to the left hand side and 7 to the right hand side.

⇒ x − 8 x 3 + 5 x 2 = 176 − 7

Taking the LCM of (2, 3).

⇒ 6 x − 16 x + 15 x 6 = 17 − 42 6 ⇒ 5 x 6 = − 256 ⇒ x = − 255 ⇒ x = − 5

Hence the value of variable x is -5.
Correct option is 1.

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