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# If 4(–3x – 8) = 8(–x + 9), what is the value of x2?

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

If 4(–3x – 8) = 8(–x + 9), what is the value of x2? [#permalink]  23 Jun 2018, 11:38
Expert's post
00:00

Question Stats:

85% (01:09) correct 14% (00:46) wrong based on 7 sessions
If $$4(-3x - 8) = 8(-x + 9)$$, what is the value of $$x^2$$?

[Reveal] Spoiler: OA
676

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Sandy
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Director
Joined: 20 Apr 2016
Posts: 761
Followers: 6

Kudos [?]: 517 [0], given: 94

Re: If 4(–3x – 8) = 8(–x + 9), what is the value of x2? [#permalink]  01 Jul 2018, 21:54
sandy wrote:
If $$4(-3x - 8) = 8(-x + 9)$$, what is the value of $$x^2$$?

[Reveal] Spoiler: OA
676

Here;

$$4(-3x - 8) = 8(-x + 9)$$

or $$(-3x - 8) = 2(-x + 9)$$

or $$-3x -8 = -2x + 18$$

or $$x = -26$$

or $$x^2 = (-26)^2$$ = 676
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

Re: If 4(–3x – 8) = 8(–x + 9), what is the value of x2? [#permalink]  15 Jul 2018, 03:44
Expert's post
Explanation

Distribute, group like terms, and solve for x:

4(–3x – 8) = 8(–x + 9)

–12x – 32 = –8x + 72

–32 = 4x + 72

–104 = 4x

–26 = x

Then, multiply 26 by 26 in the calculator (or –26 by –26, although the negatives will cancel each other out) to get $$x^2$$, which is 676.
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Sandy
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Re: If 4(–3x – 8) = 8(–x + 9), what is the value of x2?   [#permalink] 15 Jul 2018, 03:44
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