5n+19=6(1+3n)

Solution for 5n+19=6(1+3n) equation:

Simplifying
5n + 19 = 6(1 + 3n)

Reorder the terms:
19 + 5n = 6(1 + 3n)
19 + 5n = (1 * 6 + 3n * 6)
19 + 5n = (6 + 18n)

Solving
19 + 5n = 6 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
19 + 5n + -18n = 6 + 18n + -18n

Combine like terms: 5n + -18n = -13n
19 + -13n = 6 + 18n + -18n

Combine like terms: 18n + -18n = 0
19 + -13n = 6 + 0
19 + -13n = 6

Add '-19' to each side of the equation.
19 + -19 + -13n = 6 + -19

Combine like terms: 19 + -19 = 0
0 + -13n = 6 + -19
-13n = 6 + -19

Combine like terms: 6 + -19 = -13
-13n = -13

Divide each side by '-13'.
n = 1

Simplifying
n = 1