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1 vote
Solve for x.
2 + 3x = −4(5 + 2x)
x = [?]

User Piratetone
by
8.1k points

2 Answers

3 votes

Answer:

the answer for x would equal -2

User Riyasvaliya
by
7.6k points
4 votes

Answer:


\sf x =\boxed{\sf -2}

Explanation:


\sf 2 + 3x = −4(5 + 2x)

To solve for x, we need to manipulate the equation so that x is isolated on one side.

So, distribute the negative sign with 4 on the right side of the equation. We get:


\sf 2 + 3x = -20 -8x

Add 8x on both sides:


\sf 2 + 3x+8x = -20 -8x+8x

Simplify like terms:


\sf 2 + 11x = -20

Subtract 2 on both sides


\sf 2 + 11x -2 = -20-2

Simplify like terms:


\sf 11x = -22

Divide both sides by 11, we get:


\sf (11x)/(11)=-(22)/(11)


\sf x =\boxed{\sf -2}

Therefore, the value of x is -2.

User VoonArt
by
8.4k points

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