An equation is shown below:
4(2x - 5) = 4
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
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OpenStudy (anonymous):
x=3
2*3=6-5=1
1*4=4
OpenStudy (anonymous):
thata confusing
OpenStudy (anonymous):
4 dude 4
OpenStudy (anonymous):
Parantheses comes first in this equation
OpenStudy (anonymous):
2*3=6 right?
so 6-5 which is 1
Then u have 4 left so 4*1=4
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OpenStudy (anonymous):
so how many solutions are there?
OpenStudy (anonymous):
Not sure i just found 1
OpenStudy (anonymous):
but i need to know how many sloutions there are!!
OpenStudy (anonymous):
2 im 80%sure
OpenStudy (anonymous):
Yes 2
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OpenStudy (triciaal):
read the question before answering
OpenStudy (anonymous):
but dont yell at me i said 80%
OpenStudy (triciaal):
Part A how many solutions ?
OpenStudy (triciaal):
a linear equation has only one solution
OpenStudy (anonymous):
Simplifying
4(2x + -5) = 4
Reorder the terms:
4(-5 + 2x) = 4
(-5 * 4 + 2x * 4) = 4
(-20 + 8x) = 4
Solving
-20 + 8x = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 8x = 4 + 20
Combine like terms: -20 + 20 = 0
0 + 8x = 4 + 20
8x = 4 + 20
Combine like terms: 4 + 20 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
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