Answer:
x= 8
Step-by-step explanation:
1/4(16+12x)=28
distribute by multiplying the numbers in parenthesis by 1/4
4+3x=28
subtract 4 from both sides
3x=24
divide both sides by 3
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x= 8
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Answer: 8
Step-by-step explanation:
[tex]\frac{1}{4} (16+12x)=28[/tex]
Before we can do anything to the numbers in the parentheses, we must first get rid of the 1/4 on the left side
To do this, we would simply multiply each side by the reciprocal of 1/4, which would be 4 since whatever you do to one side you must also do to the other side
Doing this causes the 1/4 and 4 to cancel one another out on the left side and 28x4=112, leaving you with this:
[tex](16+12x)=112[/tex]
At this point we can get rid of the parentheses since they no longer serve a purpose
[tex]16+12x=28[/tex]
Now, we still cannot do anything to the 12x since the 16 is still on the left side, so we must subtract 16 from both sides, leaving us with this:
[tex]12x=96[/tex]
Finally we can solve for x now! Divide both sides by 12 to get x by itself and you have solved the question!
[tex]x=8[/tex]
