19+2n=5(3n-4)

Solution for 19+2n=5(3n-4) equation:

Simplifying
19 + 2n = 5(3n + -4)

Reorder the terms:
19 + 2n = 5(-4 + 3n)
19 + 2n = (-4 * 5 + 3n * 5)
19 + 2n = (-20 + 15n)

Solving
19 + 2n = -20 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
19 + 2n + -15n = -20 + 15n + -15n

Combine like terms: 2n + -15n = -13n
19 + -13n = -20 + 15n + -15n

Combine like terms: 15n + -15n = 0
19 + -13n = -20 + 0
19 + -13n = -20

Add '-19' to each side of the equation.
19 + -19 + -13n = -20 + -19

Combine like terms: 19 + -19 = 0
0 + -13n = -20 + -19
-13n = -20 + -19

Combine like terms: -20 + -19 = -39
-13n = -39

Divide each side by '-13'.
n = 3

Simplifying
n = 3