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Find the value of x satisfying: 2(3x² − 6) − 3(2x² + 8x − 5) = 14
Question

Find the value of x satisfying: 2(3x² − 6) − 3(2x² + 8x − 5) = 14

A.

– 19/24

B.

– 13/24

C.

– 17/24

D.

– 11/24

Correct option is D

Given: 

2(3x² − 6) − 3(2x² + 8x − 5) = 14 

Solution: 

2(3x² − 6) − 3(2x² + 8x − 5) = 14 

(6x² − 12) − (6x² + 24x − 15) = 14 

6x² − 12 − 6x² - 24x + 15 = 14

-24x + 3 = 14 

-24x = 11 

x = 1124\frac{-11}{24}​ 

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