5(n-3)-3(2n+1)=19

Solution for 5(n-3)-3(2n+1)=19 equation:

Simplifying
5(n + -3) + -3(2n + 1) = 19

Reorder the terms:
5(-3 + n) + -3(2n + 1) = 19
(-3 * 5 + n * 5) + -3(2n + 1) = 19
(-15 + 5n) + -3(2n + 1) = 19

Reorder the terms:
-15 + 5n + -3(1 + 2n) = 19
-15 + 5n + (1 * -3 + 2n * -3) = 19
-15 + 5n + (-3 + -6n) = 19

Reorder the terms:
-15 + -3 + 5n + -6n = 19

Combine like terms: -15 + -3 = -18
-18 + 5n + -6n = 19

Combine like terms: 5n + -6n = -1n
-18 + -1n = 19

Solving
-18 + -1n = 19

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + -1n = 19 + 18

Combine like terms: -18 + 18 = 0
0 + -1n = 19 + 18
-1n = 19 + 18

Combine like terms: 19 + 18 = 37
-1n = 37

Divide each side by '-1'.
n = -37

Simplifying
n = -37