Ekaterina’s favorite expression is 4x – 4. Alban’s favorite expression is 8x – 24. What value of x makes these two expressions equal?

Respuesta :

Answer:

x = 5

Step-by-step explanation:

You are solving for a x that can, when plugged in, equate both given expressions. To do so, set each given expression equal to each other:

4x - 4 = 8x - 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

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First, subtract 8x and add 4 to both sides of the equation:

4x (-8x) - 4 (+4) = 8x (-8x) - 24 (+4)

4x - 8x = -24 + 4

-4x = -20

Next, divide -4 from both sides of the equation:

(-4x)/-4 = (-20)/-4

x = -20/-4

x = 5

5 is your answer.

Check:

Plug in 5 for x in both given expressions:

4x - 4

4(5) - 4

= 20 - 4

= 16

-

8x - 24

8(5) - 24

= 40 - 24

= 16

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Learn more about solving using PEMDAS, here:

https://brainly.com/question/26499272