2(3n-5)-(4n-9)=1

Solution for 2(3n-5)-(4n-9)=1 equation:

Simplifying
2(3n + -5) + -1(4n + -9) = 1

Reorder the terms:
2(-5 + 3n) + -1(4n + -9) = 1
(-5 * 2 + 3n * 2) + -1(4n + -9) = 1
(-10 + 6n) + -1(4n + -9) = 1

Reorder the terms:
-10 + 6n + -1(-9 + 4n) = 1
-10 + 6n + (-9 * -1 + 4n * -1) = 1
-10 + 6n + (9 + -4n) = 1

Reorder the terms:
-10 + 9 + 6n + -4n = 1

Combine like terms: -10 + 9 = -1
-1 + 6n + -4n = 1

Combine like terms: 6n + -4n = 2n
-1 + 2n = 1

Solving
-1 + 2n = 1

Solving for variable 'n'.

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

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

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

Combine like terms: 1 + 1 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1