Question

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

Answer 1

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

Answer 2

Answer:

$x = 9$

Step-by-step explanation:

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