Question

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

Answer 1

x = 5

Explanation:

to find the value of x that makes the expressions equal, equate them

8x - 24 = 4x - 4 ( subtract 4x from both sides )

4x - 24 = - 4 ( add 24 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

then

4x - 4 = 4(5) - 4 = 20 - 4 = 16

8x - 24 = 8(5) - 24 = 40 - 24 = 16

the value x = 5 makes the 2 expressions equal