What is the value of x in the equation shown below.0.25x + 7 = 4(x - 2)
2 answers:
Answer:
x=4
Step-by-step explanation:
0.25x+7=4(x−2)
Use the distributive property to multiply 4 by x−2.
0.25x+7=4x−8
Subtract 4x from both sides.
0.25x+7−4x=−8
Combine 0.25x and −4x to get −3.75x.
−3.75x+7=−8
Subtract 7 from both sides.
−3.75x=−8−7
Subtract 7 from −8 to get −15.
−3.75x=−15
Divide both sides by −3.75.
x=-15/-3.75
Expand -15/-3.75 by multiplying both numerator and the denominator by 100.
x=-1500/-375
Divide −1500 by −375 to get 4.
x=4
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Answer: Third option.
Step-by-step explanation:
To solve this exercise it is important to remember the following:
1) By definition, equivalent expression have the same value, but they look different.
2) The multiplication of signs:
Then, given the following expression provided in the exercise:
You need to distribute the postive sign:
And finally, you must add the like terms:
As you can notice, the expression obtained matches with the expression shown in the third option.