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# If 5x + 32 = 4 - 2x, what is the value of x?

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If 5x + 32 = 4 - 2x, what is the value of x? [#permalink]  04 Jan 2017, 07:25
Expert's post
00:00

Question Stats:

57% (00:26) correct 42% (00:21) wrong based on 26 sessions

If $$5x + 32 = 4 - 2x$$, what is the value of $$X$$ ?

(A) -4
(B) -3
(C) 4
(D) 7
(E) 12
[Reveal] Spoiler: OA

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GRE Prep Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1820 [1] , given: 397

Re: If 5x + 32 = 4 - 2x, what is the value of x? [#permalink]  05 Jan 2017, 12:56
1
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Expert's post
Explanation

Simplifying
$$5x + 32 = 4 + -2x$$

Reorder the terms:
$$32 + 5x = 4 + -2x$$

Solving
$$32 + 5x = 4 + -2x$$

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
$$32 + 5x + 2x = 4 + -2x + 2x$$

Combine like terms: 5x + 2x = 7x
$$32 + 7x = 4 + -2x + 2x$$

Combine like terms: -2x + 2x = 0
$$32 + 7x = 4 + 0$$
$$32 + 7x = 4$$

Add '-32' to each side of the equation.
$$32 + -32 + 7x = 4 + -32$$

Combine like terms: $$32 + -32 = 0$$
$$0 + 7x = 4 + -32$$
$$7x = 4 + -32$$

Combine like terms: $$4 + -32 = -28$$
$$7x = -28$$

Divide each side by '7'.
$$x = -4$$

Simplifying
$$x = -4$$

Hence option A is correct.
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Sandy
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Joined: 12 Jan 2017
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Re: If 5x + 32 = 4 - 2x, what is the value of x? [#permalink]  16 Jan 2017, 19:55
1
KUDOS
5x+2x=4-32
7x=-24
x=-8
Re: If 5x + 32 = 4 - 2x, what is the value of x?   [#permalink] 16 Jan 2017, 19:55
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