3(x-4)/4=5(2x-3)/3

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Solution for 3(x-4)/4=5(2x-3)/3 equation:


x in (-oo:+oo)

(3*(x-4))/4 = (5*(2*x-3))/3 // - (5*(2*x-3))/3

(3*(x-4))/4-((5*(2*x-3))/3) = 0

(3*(x-4))/4+(-5/3)*(2*x-3) = 0

(3*(x-4))/4-5/3*(2*x-3) = 0

(3*(x-4))/4+(-5/3*4*(2*x-3))/4 = 0

3*(x-4)-5/3*4*(2*x-3) = 0

8-31/3*x = 0

(8-31/3*x)/4 = 0

(8-31/3*x)/4 = 0 // * 4

8-31/3*x = 0

8-31/3*x = 0 // - 8

-31/3*x = -8 // : -31/3

x = -8/(-31/3)

x = 24/31

x = 24/31

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