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

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


Simplifying
3(n + -7) = 2(10 + -1n)

Reorder the terms:
3(-7 + n) = 2(10 + -1n)
(-7 * 3 + n * 3) = 2(10 + -1n)
(-21 + 3n) = 2(10 + -1n)
-21 + 3n = (10 * 2 + -1n * 2)
-21 + 3n = (20 + -2n)

Solving
-21 + 3n = 20 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-21 + 3n + 2n = 20 + -2n + 2n

Combine like terms: 3n + 2n = 5n
-21 + 5n = 20 + -2n + 2n

Combine like terms: -2n + 2n = 0
-21 + 5n = 20 + 0
-21 + 5n = 20

Add '21' to each side of the equation.
-21 + 21 + 5n = 20 + 21

Combine like terms: -21 + 21 = 0
0 + 5n = 20 + 21
5n = 20 + 21

Combine like terms: 20 + 21 = 41
5n = 41

Divide each side by '5'.
n = 8.2

Simplifying
n = 8.2

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