Respuesta :

x = 6

given

[tex]\frac{x+2}{x-2}[/tex] = [tex]\frac{4}{8}[/tex]

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 = [tex]\frac{-24}{4}[/tex] = - 6

Hello there!

Answer: ⇒ x=-6

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Step-by-step explanation:

Apply fraction cross multiply.

[tex](x+2)*8=(x-2)*4[/tex]

Expand.

[tex]8x+16=4x-8[/tex]

Subtract by 16 from both sides of equation.

[tex]8x+16-16=4x-8-16[/tex]

Simplify.

[tex]8x=4x-24[/tex]

Subtract by 4x from both sides of equation.

[tex]8x-4x=4x-24-4x[/tex]

Simplify.

[tex]4x=-24[/tex]

Divide by 4 from both sides of equation.

[tex]\frac{4x}{4}=\frac{-24}{4}[/tex]

Simplify it should be correct answer.

[tex]x=-6[/tex]

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Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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