Answer:
x = 9
Step-by-step explanation:
[tex]\frac{3x+5}{2}[/tex] = [tex]\frac{5x+3}{3}[/tex]
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:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] \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[/tex]
