Respuesta :

Answer:

x= 1

Step-by-step explanation:

platoo

The solution of the equation (x=)  is the value of the variable of the equation. The solution of the equation is

[tex]x=1[/tex]

How to find solution of equation?

To find the solution of the equation-

  • Simplify the equation first
  • Separate the same variable terms one side
  • Find the simplest value of variable using the mathematical operations.

Given information-

The equation given in the problem is,

[tex]\dfrac{2}{7}=\dfrac{6x}{4x+17}[/tex]

To solve the above equation, cross multiply the equation as,

[tex]2\times(4x+17)=(6x)\times7[/tex]

Simplify it further as,

[tex]8x+34=42x[/tex]

Separate the same variable terms one side as,

[tex]42x-8x&=34\\34x=34[/tex]

Divide by 34 both sides. Thus,

[tex]x=1[/tex]

Hence the solution of the equation is,

[tex]x=1[/tex]

Learn more about the solution of equation here;

https://brainly.com/question/21283540