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Mathematics

Evaluate:

2x(3x - 5) - 5(x - 2) - 18 for x = 2.

Algebraic Expressions

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Answer

2x(3x - 5) - 5(x - 2) - 18

= 6x(1+1) - 10x - 5x + 10 - 18

= 6x2 + (- 10x - 5x) + (10 - 18)

= 6x2 - 15x - 8

For x = 2,

= 6 x 22 - 15 x 2 - 8

= 6 x 4 - 15 x 2 - 8

= 24 - 30 - 8

= - 14

Hence, for x = 2, the value of [2x(3x - 5) - 5(x - 2) - 18] is - 14.

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