Respuesta :

1/5(2x - 10) + 4x = -3(1/5x + 4)
0.4x - 2 + 4x = -0.6x - 12
4.4x - 2 = -0.6x - 12
5x - 2 = -12
5x = -10
x = -2
[tex] \dfrac{1}{5} (2x - 10) + 4x = -3 ( \dfrac{1}{5}x + 4) [/tex]

Apply distributive property to distribute 1/3 and -3:

[tex] \dfrac{2}{5} x - 2 + 4x = - \dfrac{3}{5}x - 12[/tex]

Sort all the x to the left and the constants to the right:

[tex]\dfrac{2}{5} x + \dfrac{3}{5}x + 4x = - 12 + 2[/tex]

Simplify:

[tex]5x = -10[/tex]

Divide by 5:

[tex]x = -2[/tex]


[tex]\boxed { \boxed {\text {Answer: x = -2}}}[/tex]
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