3n-7=2(n-1)

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Solution for 3n-7=2(n-1) equation:


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

Reorder the terms:
-7 + 3n = 2(n + -1)

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

Solving
-7 + 3n = -2 + 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.
-7 + 3n + -2n = -2 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-7 + 1n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
-7 + 1n = -2 + 0
-7 + 1n = -2

Add '7' to each side of the equation.
-7 + 7 + 1n = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 1n = -2 + 7
1n = -2 + 7

Combine like terms: -2 + 7 = 5
1n = 5

Divide each side by '1'.
n = 5

Simplifying
n = 5

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