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Leya [2.2K]
2 years ago
15

What is the value of x in the equation (3x+5)/2=(5x+3)/3

Mathematics
2 answers:
8090 [49]2 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

\frac{3x+5}{2} = \frac{5x+3}{3}

multiply both sides by 6 ( the LCM of 2 and 3 ) to clear the fractions

3(3x + 5) = 2(5x + 3) ← distribute parenthesis

9x + 15 = 10x + 6 ( subtract 9x from both sides )

15 = x + 6 ( subtract 6 from both sides )

9 = x

denpristay [2]2 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

\frac{3x + 5}{2}  = 1 +  \frac{5x}{3}  \\ 3(3x + 5) = 6 + 10x \\ 9x + 15 = 6 + 10x \\ 15 = 6 + 10x - 9 \\ 15 = 6 + x \\ 15 - 6 = x \\ 9 = x \\ x = 9

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