Question

0.5(x-0.4)/0.35-0.6(x-2.71)/0.42=x+6.1
solve this equation

Answer 1

Given that $\frac{0.5(x-0.4)}{0.35} - \frac{0.6(x-2.71)}{0.42} = x + 6.1$

$\frac{(0.5x-0.2)}{0.35} - \frac{(0.6x-1.626)}{0.42} = x + 6.1$

$\frac{6(0.5x-0.2) - 5(0.6x-1.626)}{2.1} = x + 6.1$

$\frac{(3x- 1.2) - (3x-8.13)}{2.1} = x + 6.1$

$\frac{6.93}{2.1} = x + 6.1$

3.3 = x + 6.1

x = -2.8

Answer 2

Answer:

The solution of the equation is x=2.8.

Step-by-step explanation:

Given : Equation $\frac{0.5(x-0.4)}{0.35}-\frac{0.6(x-2.71)}{0.42} = x + 6.1$

To find : Solve the equation ?

Solution :

$\frac{0.5(x-0.4)}{0.35}-\frac{0.6(x-2.71)}{0.42} = x + 6.1$

Solve the bracket,

$\frac{(0.5x-0.2)}{0.35}-\frac{(0.6x-1.626)}{0.42} = x + 6.1$

$\frac{6(0.5x-0.2)-5(0.6x-1.626)}{2.1} = x + 6.1$

$\frac{(3x- 1.2) - (3x-8.13)}{2.1} = x + 6.1$

$\frac{6.93}{2.1} = x + 6.1$

$3.3 = x+6.1$

$x=6.1-3.3$

 $x=2.8$

Therefore, The solution of the equation is x=2.8.