3(x-5)/2=2(x-5)/3

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Solution for 3(x-5)/2=2(x-5)/3 equation:


x in (-oo:+oo)

(3*(x-5))/2 = (2*(x-5))/3 // - (2*(x-5))/3

(3*(x-5))/2-((2*(x-5))/3) = 0

(3*(x-5))/2+(-2/3)*(x-5) = 0

(3*(x-5))/2-2/3*(x-5) = 0

(3*(x-5))/2+(-2/3*2*(x-5))/2 = 0

3*(x-5)-2/3*2*(x-5) = 0

5/3*x-25/3 = 0

(5/3*x-25/3)/2 = 0

(5/3*x-25/3)/2 = 0 // * 2

5/3*x-25/3 = 0

5/3*x-25/3 = 0 // + 25/3

5/3*x = 25/3 // : 5/3

x = 25/3/5/3

x = 5

x = 5

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