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If x ≠ 2 and = 17, what is the value of x?
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23 Jun 2018, 11:43
23 Jun 2018, 11:43
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89% (01:07) correct
10% (01:23) wrong based on 57 sessions
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Re: If x ≠ 2 and = 17, what is the value of x?
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16 Jul 2018, 06:51
16 Jul 2018, 06:51
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Explanation
\(\frac{8-2(-4+10x)}{2-x}= 17\)
Multiply both sides by the expression 2 – x, distribute both sides, combine like terms, and solve:
8 – 2(–4 + 10x) = 17(2 – x)
8 + 8 – 20x = 34 – 17x
16 – 20x = 34 – 17x
16 = 34 + 3x
–18 = 3x
–6 = x
\(\frac{8-2(-4+10x)}{2-x}= 17\)
Multiply both sides by the expression 2 – x, distribute both sides, combine like terms, and solve:
8 – 2(–4 + 10x) = 17(2 – x)
8 + 8 – 20x = 34 – 17x
16 – 20x = 34 – 17x
16 = 34 + 3x
–18 = 3x
–6 = x
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Re: If x 2 and = 17, what is the value of x?
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03 Sep 2022, 03:03
03 Sep 2022, 03:03
Given that \(x \neq 2\) and \(\frac{8-2(-4+10x)}{2-x}= 17\) and we need to find the value of x
\(\frac{8-2(-4+10x)}{2-x}= 17\)
=> 8 - 2*-4 - 2*10x= 17*(2-x)
=> 8 + 8 -20x = 34 - 17x
=> 17x - 20x = 34-16 = 18
=> -3x = 18
=> x = \(\frac{18}{-3}\) = -6
So, Answer will be -6
Hope it helps!
\(\frac{8-2(-4+10x)}{2-x}= 17\)
=> 8 - 2*-4 - 2*10x= 17*(2-x)
=> 8 + 8 -20x = 34 - 17x
=> 17x - 20x = 34-16 = 18
=> -3x = 18
=> x = \(\frac{18}{-3}\) = -6
So, Answer will be -6
Hope it helps!
