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What value of x makes the equation true
2/5x + 1/5x -6 =6

2 Answers

2 votes

Answer:

Explanation:

User Alejandro Montilla
by
4.6k points
4 votes

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Collect like terms


(3)/(5) x - 6 = 6 \\

Add sides 6


(3)/(5) x - 6 + 6 = 6 + 6 \\


(3)/(5) x = 12 \\

Multiply sides by 5


5 * (3)/(5) x = 5 * 12 \\


3x = 12 * 5


3x = 60

Divide sides by 3


(3x)/(3) = (60)/(3) \\


x = 20

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CHECK :


(3)/(5) (20) - 6 = 6 \\


3( (20)/(5) ) - 6 = 6 \\


3(4) - 6 = 6


12 - 6 = 6


6 = 6

Thus the solution is correct.

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User Jigar Pandya
by
4.9k points