Question

Solve 0.6(10n + 25) = 10 + 5n ?

Answer 1

Answer: $x=-5$

Simplify both sides of the equation

$(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10$

Subtract 5n from both sides

$6n+15-5n=5n+10-5n\\n+15=10$

Subtract 15 from both sides

$n+15-15=10-15\\n=-5$

Answer 2

Answer: $n=-5$

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

Add -5n to each side of the equation.

$15 + 6n + -5n = 10 + 5n + -5n$

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

$15 + 1n = 10 + 5n + -5n$

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

$15 + 1n = 10 + 0\\15 + 1n = 10$

Add -15 to each side of the equation

$15 + -15 + 1n = 10 + -15$

Combine like terms: 15 + -15 = 0

$0 + 1n = 10 + -151n = 10 + -15$

Combine like terms: 10 + -15 = -5

$1n = -5$

Divide each side by 1

$1n/1=-5/1\\n=-5$