Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?

Sagot :

mathstudent55

Answer:

x = -56

Step-by-step explanation:

0.75(x + 20) = 2 + 0.5(x - 2)

0.75x + 15 = 2 + 0.5x - 1

0.25x = -14

x = -14/0.25

x = -56

sl33pylink
Step 1: Simplify both sides of the equation.

0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)

0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)

(Combine Like Terms)
0.75x + 15 = 0.5x + 1

Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1

Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14

Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x

x = -56
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.