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25 votes
25 votes
Solve for x. Remove the fractions first. 3/5(x-5)=-2/3

User Seneca
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1 Answer

14 votes
14 votes

Answer:

x = 35/9 or 3 8/9

Explanation:

removing the fractions implies using the distributive property, which is multiplying each term outside the parentheses by each term inside

in this problem, after distributing 3/5 we get:

3/5x - 3 = -2/3

we want to isolate the 'x' so we undo subtraction first by adding 3 to each side to get:

3/5x = 9/3 - 2/3

3/5 x = 7/3

x = 7/3 × 5/3

x = 35/9

3/5x = 7/3

we can get the 'x' by itself if we multiply each side by the reciprocal of 3/5, which is 5/3 to get:

x = 7/3 × 5/3

x = 35/3

User Bobflux
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