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# Please show me the steps to solve 4w+23/5 =19-w/7. 4w+23 is a fraction denimator is 5 and 19 - W is too den 7?

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- SC momLv 41 decade agoFavorite Answer
you need to find a common denominator.....in this case it is 35, so you write 35 as both of your denominators and you convert you numerators to equivalent fractions by multiplying them by the other denominator.........in other words multiply the first fraction numerator and denominator by 7, and the second fraction multiply the numerator and denominator by 5, it should look like this when you are done:

7(4w+23)/35=5(19-w)/35

then you can remove the denominators by multiplying both sides of the equation by 35/1

then you end up with

7(4w+23)=5(19-w)

distribute to remove parenthesis

28w+161=95-5w

add 5w to both sides

33w+161=95

now subtract 161 from both sides

33w= -66

divide both sides by 33

w=-2

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