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Len [333]
3 years ago
5

4) Solve for x: 4(2x - 10) = 12x + 10

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0

Answer:

x=-25/2

Step-by-step explanation:

ipn [44]3 years ago
4 0
<h3>Answer:</h3>

x =  -  \frac{25}{2}

Alternative forms:

x =  - 12 \frac{1}{2}, \: or \: x =  - 12.5

<h3>Step-by-step explanation:</h3>

4(2x - 10) = 12x + 10 \\ first \: you \: need \: to \: distribute \\  \\ 8x - 40 = 12x + 10 \\ subtract \: 12x \: from \: both \: sides \\  \\  - 4x - 40 = 10 \\ add \: 40 \: from \: both \: sides \\  \\  - 4x = 50 \\ divide \: both \: sides \: by \:  - 4 \\  \\ x =  -  \frac{25}{2}

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Answer:

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Step-by-step explanation:

Given the expression

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A=\frac{k}{2}\left(m+n\right)

Flip the equation

\frac{k}{2}\left(m+n\right)=A

Expanding by applying the distributive law: a\left(b+c\right)=ab+ac

\frac{1}{2}km+\frac{1}{2}kn=A

Add (-1)/2 × kn to both sides

\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A

simplify

\frac{1}{2}km=-\frac{1}{2}kn+A

Divide both sides by k/2

\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}

m=\frac{2A-kn}{k}

Therefore,

m=\frac{2A-kn}{k}

Hence, option C is true.

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