4(n-5)+2=3(n-1)

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Solution for 4(n-5)+2=3(n-1) equation:


Simplifying
4(n + -5) + 2 = 3(n + -1)

Reorder the terms:
4(-5 + n) + 2 = 3(n + -1)
(-5 * 4 + n * 4) + 2 = 3(n + -1)
(-20 + 4n) + 2 = 3(n + -1)

Reorder the terms:
-20 + 2 + 4n = 3(n + -1)

Combine like terms: -20 + 2 = -18
-18 + 4n = 3(n + -1)

Reorder the terms:
-18 + 4n = 3(-1 + n)
-18 + 4n = (-1 * 3 + n * 3)
-18 + 4n = (-3 + 3n)

Solving
-18 + 4n = -3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-18 + 4n + -3n = -3 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-18 + 1n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
-18 + 1n = -3 + 0
-18 + 1n = -3

Add '18' to each side of the equation.
-18 + 18 + 1n = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 1n = -3 + 18
1n = -3 + 18

Combine like terms: -3 + 18 = 15
1n = 15

Divide each side by '1'.
n = 15

Simplifying
n = 15

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