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4 years ago

How do I solve this?

Mathematics

2 answers:

Alexus [3.1K]4 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]4 years ago

5 0

Hello there!

<u><em>Answer: ⇒ x=-6</em></u>

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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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