If #5x-17+3x=3(5-2x)# then what is the value of #x#?

Answer 1

Hazel Anglin

#16/7# or #2 2/7#

start off by writing #5x-17+3x=3(5-2x)#

distribute #5x-17+3x=15-6x#

combine like terms #8x-17=15-6x#

add #17# to both sides to get #8x# on its own side #8x=32-6x#

add #6x# to both sides #14x=32#

divide both sides by #14# #x=32/14# (simplified to #16/7# or #2 2/7#)

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Answer 2

Genesis Allen

To solve the equation 5x - 17 + 3x = 3(5 - 2x), first distribute the 3 on the right side: 15 - 6x. Then, combine like terms on the left side: 8x - 17. Next, set the left side equal to the right side: 8x - 17 = 15 - 6x. Add 6x to both sides: 14x - 17 = 15. Add 17 to both sides: 14x = 32. Divide both sides by 14: x = 32/14 = 16/7. Therefore, the value of x is 16/7.

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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.