3n-10=7(n+2)

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Solution for 3n-10=7(n+2) equation:


Simplifying
3n + -10 = 7(n + 2)

Reorder the terms:
-10 + 3n = 7(n + 2)

Reorder the terms:
-10 + 3n = 7(2 + n)
-10 + 3n = (2 * 7 + n * 7)
-10 + 3n = (14 + 7n)

Solving
-10 + 3n = 14 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-10 + 3n + -7n = 14 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-10 + -4n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-10 + -4n = 14 + 0
-10 + -4n = 14

Add '10' to each side of the equation.
-10 + 10 + -4n = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -4n = 14 + 10
-4n = 14 + 10

Combine like terms: 14 + 10 = 24
-4n = 24

Divide each side by '-4'.
n = -6

Simplifying
n = -6

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