Question

3/5(x-2)-1/10(x+3)=2/3(3-5x)-3/4(2x-7)

Answer 1

3/5(x-2)-1/10(x+3)=2/3(3-5x)-3/4(2x-7)

3/5x-6/5-1/10x-3/10=2-2x-3/2x-21/4

3/5x-1/10x+2x-3/2x=2-21/4+6/5+3/10

6/10x-1/10x+20/10x-15/10x=40/20-105/20+24/20+6/20

10/10x=-35/20

x=-35/20

Answer 2

Resolvemos.

$\dfrac{3(x-2)}{5}-\dfrac{x+3}{10} = \dfrac{2(3-5x)}{3}-\dfrac{3(2x-7)}{4}\\ \\ \\ \dfrac{3x-6}{5} - \dfrac{x+3}{10} = \dfrac{6-10x}{3}-\dfrac{6x-21}{4} \\ \\ \\ \dfrac{10(3x-6)-5(x+3)}{5*10} = \dfrac{4(6-10x)-3(6x-21)}{3*4} \\ \\ \\ \dfrac{30x - 60 - 5x - 15}{50} = \dfrac{24-40x-18x+63}{12} \\ \\ \\ \dfrac{25x-75}{\not{50}} = \dfrac{87-58x}{\not{12}} \\ \\ 6(25x - 75) = 25(87 - 58x) \\ \\ 150x - 450=2175 - 1450x \\ \\ 1600x = 2625 \\ \\ x = \dfrac{2650:25}{1600:25} \\ \\ \\ \boxed{x = \dfrac{105}{64}}$