Respuesta :

The value of x is x=6

Answer:

[tex]\boxed {x = 6}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]0.4x + 0.4 = 0.6x - 0.8[/tex]

-Take [tex]0.6x[/tex] and subtract it from [tex]0.4x[/tex]:

[tex]0.4x + 0.4 - 0.6x = 0.6x - 0.6x - 0.8[/tex]

[tex]-0.2x + 0.4 = - 0.8[/tex]

-Subtract [tex]0.4[/tex] to both sides:

[tex]-0.2x + 0.4 - 0.4 = - 0.8 - 0.4[/tex]

[tex]-0.2x = -1.2[/tex]

-Divide both sides by [tex]-0.2[/tex]:

[tex]\frac{-0.2x}{-0.2} = \frac{-1.2}{-0.2}[/tex]

-Expand by multiplying the numerator and the denominator by [tex]10[/tex]:

[tex]x = \frac{-12}{-2}[/tex]

[tex]\boxed {x = 6}[/tex]

So, the value of [tex]x[/tex] is [tex]6[/tex].