Respuesta :
Answer:
[tex] \sf{ \dfrac{ 3}{5}x + 2 = \dfrac{2}{3} x}[/tex]
[tex] \implies \sf{ \dfrac{2}{3} x - \dfrac{3}{5} x} = 2[/tex]
[tex] \red\star \sf{take \: l.c.m \: of \: 3 \: and \: 5 = 15}[/tex]
[tex] \implies \sf{ \dfrac{10x - 9x}{15} = 2 }[/tex]
[tex] \implies \sf{ \dfrac{x}{15} = 2 }[/tex]
[tex] \implies \sf{x = 2 \times 15}[/tex]
[tex] \implies \sf{x = 30}[/tex]
Answer:
x=30
Step-by-step explanation:
3/5x+2=2/3x
So for solving for x you are going to first try to get x on the same side so move 2/3x to the left side of the equal sign. so it becomes 3/5x-2/3x+2=0 then you are going to combine like terms and subtract 2/3x from 3/5x so it becomes 9/15x-10/15x since they have least common denominater which is 15 so it becomes 9/15 and 10/15 then you subtract them so it is -1/15x+2=0 then you are going to move the 2 to the other side of the equal sign so it is -1/15x=-2 then you are going to divide multiply -15 to both sides to get rid of it from the x side so you can isolate it so therefore the answer is x=30