Question

Solvethe equation 3(x-5)/2=2(x+5)/3

Answer 1

3(x−5)/2=2(x+5)/3

Cross-multiply.

(3(x−5))/2=(2(x+5))/3

3(x−5)*(3)=2(x+5)*(2)

9x−45=4x+20

Subtract 4x from both sides.

9x−45−4x=4x+20−4x


5x−45=20

Add 45 to both sides.

5x−45+45=20+45

5x=65

Divide both sides by 5.

5x/5=65/5

x=13

Answer 2

$\dfrac{3(x-5)}{2}=\dfrac{2(x+5)}{3}\\ 2\cdot2(x+5)=3\cdot3(x-5)\\ 4x+20=9x-45\\ 9x-4x=20+45\\ 5x=65\\ x=13$