Solve for x 7+5x-2=3x-4(3-x) What is x?

Answer 1

Avery Alexander

#x=8.5#

#7+5x-2=3x-4(3-x)# #7+5x-2=3x-12+4x# #2x=17# #x=17/2# #x=8.5#

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Answer 2

Julia Adams

#x=8.5#

#5x+5=3x-12+4x# #5x+5=7x-12# #17=2x# #x=8.5#

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Answer 3

Eva Adamson

17/2

Let's take the initial equation: #7 + 5x - 2 = 3x-4(3-x)# We can simplify the left hand side by adding #7# and #-2# #5x + 5 = 3x-4(3-x)#: We can simplify the right hand side by multiplying #3# and #-x# by #-4#: #5x + 5 = 3x-12+4x# We can simplify again by adding #3x# and #-4x#: #5 + 5x = 7x-12# Now let's subtract #5# from both sides and subtract #7x# from both sides to move all #x# values to one side of the equation: #(5 + 5x) - 5 = (7x-12) - 5# #5x = 7x-17# #(5x) - 7x = (7x-17) - 7x# #- 2x = -17# Divide both sides by #-2# and we have our answer. #x = (-17)/-2# #x = 17/2#

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Answer 4

Abigail Allen

x = 3

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.