Respuesta :
If you would like to solve the equation - 2/5 * x + 6 = 8, you can do this using the following steps:
- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2 /*(-5/2)
x = 2 * (- 5/2)
x = - 5
The correct result would be -5.
- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2 /*(-5/2)
x = 2 * (- 5/2)
x = - 5
The correct result would be -5.
[tex]- \frac{2}{5} x+6=8[/tex]
Common denominator is 5
[tex] \frac{(-2)x}{5} +6=8[/tex]
[tex]5( \frac{(-2)x}{5} +6)=5*8[/tex]
Distributhing 5 through parentheses
[tex] \frac{ \not5(-2)x}{ \not5} +5*6=5*8[/tex]
[tex](-2)x+5*6=5*8[/tex]
[tex](-2)x+30=5*8[/tex]
[tex]-2x+30=40[/tex]
[tex]-2x=40-30[/tex]
[tex]-2x=10 /: -2[/tex]
[tex]x=-5[/tex]
The answer is: [tex]x=-5[/tex]
Common denominator is 5
[tex] \frac{(-2)x}{5} +6=8[/tex]
[tex]5( \frac{(-2)x}{5} +6)=5*8[/tex]
Distributhing 5 through parentheses
[tex] \frac{ \not5(-2)x}{ \not5} +5*6=5*8[/tex]
[tex](-2)x+5*6=5*8[/tex]
[tex](-2)x+30=5*8[/tex]
[tex]-2x+30=40[/tex]
[tex]-2x=40-30[/tex]
[tex]-2x=10 /: -2[/tex]
[tex]x=-5[/tex]
The answer is: [tex]x=-5[/tex]