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dedylja [7]
3 years ago
11

How do I solve this?

Mathematics
2 answers:
Alexus [3.1K]3 years ago
5 0

x = 6

given

\frac{x+2}{x-2} = \frac{4}{8}

cross- multiply to obtain

8(x + 2) = 4(x - 2) ( distribute parenthesis on both sides )

8x + 16 = 4x - 8 ( subtract 4x from both sides )

4x + 16 = - 8 ( subtract 16 from both sides )

4x = - 24 ( divide both sides by 4 )

x = \frac{-24}{4} = - 6


k0ka [10]3 years ago
5 0

Hello there!

<u><em>Answer: ⇒ x=-6</em></u>

_________________________________________________________

Step-by-step explanation:

Apply fraction cross multiply.

(x+2)*8=(x-2)*4

Expand.

8x+16=4x-8

Subtract by 16 from both sides of equation.

8x+16-16=4x-8-16

Simplify.

8x=4x-24

Subtract by 4x from both sides of equation.

8x-4x=4x-24-4x

Simplify.

4x=-24

Divide by 4 from both sides of equation.

\frac{4x}{4}=\frac{-24}{4}

Simplify it should be correct answer.

x=-6

__________________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_________________________________________________________________

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