Respuesta :

Answer: [tex]x=-5[/tex]

Simplify both sides of the equation

[tex](0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10[/tex]

Subtract 5n from both sides

[tex]6n+15-5n=5n+10-5n\\n+15=10[/tex]

Subtract 15 from both sides

[tex]n+15-15=10-15\\n=-5[/tex]

Answer: [tex]n=-5[/tex]

Move all terms containing n to the left, all other terms to the right

Add -5n to each side of the equation.

[tex]15 + 6n + -5n = 10 + 5n + -5n[/tex]

Combine like terms: 6n + -5n = 1n

[tex]15 + 1n = 10 + 5n + -5n[/tex]

Combine like terms: 5n + -5n = 0

[tex]15 + 1n = 10 + 0\\15 + 1n = 10[/tex]

Add -15 to each side of the equation

[tex]15 + -15 + 1n = 10 + -15[/tex]

Combine like terms: 15 + -15 = 0

[tex]0 + 1n = 10 + -151n = 10 + -15[/tex]

Combine like terms: 10 + -15 = -5

[tex]1n = -5[/tex]

Divide each side by 1

[tex]1n/1=-5/1\\n=-5[/tex]