anonymous
  • anonymous
Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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triciaal
  • triciaal
welcome to openstudy
triciaal
  • triciaal
expand the parenthesis on the right then isolate the variable to one side then divide by the coefficient of the variable.
triciaal
  • triciaal
remember this is an equation so whatever you do to one side also do to the other to maintain the balance

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triciaal
  • triciaal
do you know how to expand the parenthesis?
anonymous
  • anonymous
would it be 3 times 2x - 3 times 5 ? @triciaal
triciaal
  • triciaal
no to expand the parenthesis multiply what is outside by each term inside
triciaal
  • triciaal
|dw:1436035485589:dw|
triciaal
  • triciaal
what does this simplify to
anonymous
  • anonymous
oh ok thats what i said i just got the signs mixed up. thank you !
anonymous
  • anonymous
3(2x) - 15
triciaal
  • triciaal
you said "3 times 2x - 3 times 5 " means 15 times (2x-3)
triciaal
  • triciaal
|dw:1436035703822:dw|
anonymous
  • anonymous
i meant (3 times 2x) - (3 times 5)
triciaal
  • triciaal
set the right side = left side to isolate the variable means get all the terms with the variable to one side and everything else on the other what do you get?
anonymous
  • anonymous
x=4 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
wait no
triciaal
  • triciaal
|dw:1436035837230:dw|
anonymous
  • anonymous
ohh ok i see thank u so much
triciaal
  • triciaal
|dw:1436035991574:dw|
anonymous
  • anonymous
u added 15 to both sides then subtracted 4x then divided 2
anonymous
  • anonymous
thank you!!
triciaal
  • triciaal
correct
triciaal
  • triciaal
you are welcome

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