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# If 3x - 2 = 7

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If 3x - 2 = 7 [#permalink]  18 Mar 2018, 04:16
Expert's post
00:00

Question Stats:

100% (00:12) correct 0% (00:00) wrong based on 32 sessions
If 3x - 2 = 7, then 4x =

A. 3

B. 5

C. $$\frac{20}{3}$$

D. 9

E. 12
[Reveal] Spoiler: OA

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Re: If 3x - 2 = 7 [#permalink]  18 Mar 2018, 06:32
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Explanation
Solve the eqn for X

$$3x-2 =7$$
or $$3x= 7+2$$
or $$3x = 9$$
$$x = 3$$
Hence, $$4x = 4* 3 = 12$$
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Re: If 3x - 2 = 7 [#permalink]  07 May 2018, 07:37
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Expert's post
Carcass wrote:
If 3x - 2 = 7, then 4x =

A. 3

B. 5

C. $$\frac{20}{3}$$

D. 9

E. 12

amorphous has demonstrated the approach I'd typically use.
That said, here's one more approach - the only rule is that we apply the same operations to BOTH sides:

Given: 3x - 2 = 7
Add 2 to both sides to get: 3x = 9
Multiply both sides by 4/3 to get: (4/3)(3x) = (4/3)(9)
Simplify: 4x = 12

Cheers,
Brent
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Re: If 3x - 2 = 7   [#permalink] 07 May 2018, 07:37
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