3(n-1)=7(1-n)

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Solution for 3(n-1)=7(1-n) equation:


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

Reorder the terms:
3(-1 + n) = 7(1 + -1n)
(-1 * 3 + n * 3) = 7(1 + -1n)
(-3 + 3n) = 7(1 + -1n)
-3 + 3n = (1 * 7 + -1n * 7)
-3 + 3n = (7 + -7n)

Solving
-3 + 3n = 7 + -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.
-3 + 3n + 7n = 7 + -7n + 7n

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

Combine like terms: -7n + 7n = 0
-3 + 10n = 7 + 0
-3 + 10n = 7

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

Combine like terms: -3 + 3 = 0
0 + 10n = 7 + 3
10n = 7 + 3

Combine like terms: 7 + 3 = 10
10n = 10

Divide each side by '10'.
n = 1

Simplifying
n = 1

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