5(n-2)=10(3n+9)

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Solution for 5(n-2)=10(3n+9) equation:


Simplifying
5(n + -2) = 10(3n + 9)

Reorder the terms:
5(-2 + n) = 10(3n + 9)
(-2 * 5 + n * 5) = 10(3n + 9)
(-10 + 5n) = 10(3n + 9)

Reorder the terms:
-10 + 5n = 10(9 + 3n)
-10 + 5n = (9 * 10 + 3n * 10)
-10 + 5n = (90 + 30n)

Solving
-10 + 5n = 90 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
-10 + 5n + -30n = 90 + 30n + -30n

Combine like terms: 5n + -30n = -25n
-10 + -25n = 90 + 30n + -30n

Combine like terms: 30n + -30n = 0
-10 + -25n = 90 + 0
-10 + -25n = 90

Add '10' to each side of the equation.
-10 + 10 + -25n = 90 + 10

Combine like terms: -10 + 10 = 0
0 + -25n = 90 + 10
-25n = 90 + 10

Combine like terms: 90 + 10 = 100
-25n = 100

Divide each side by '-25'.
n = -4

Simplifying
n = -4

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