6(n-5)-(3-2n)=7n

Solution for 6(n-5)-(3-2n)=7n equation:

Simplifying
6(n + -5) + -1(3 + -2n) = 7n

Reorder the terms:
6(-5 + n) + -1(3 + -2n) = 7n
(-5 * 6 + n * 6) + -1(3 + -2n) = 7n
(-30 + 6n) + -1(3 + -2n) = 7n
-30 + 6n + (3 * -1 + -2n * -1) = 7n
-30 + 6n + (-3 + 2n) = 7n

Reorder the terms:
-30 + -3 + 6n + 2n = 7n

Combine like terms: -30 + -3 = -33
-33 + 6n + 2n = 7n

Combine like terms: 6n + 2n = 8n
-33 + 8n = 7n

Solving
-33 + 8n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-33 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-33 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-33 + 1n = 0

Add '33' to each side of the equation.
-33 + 33 + 1n = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1n = 0 + 33
1n = 0 + 33

Combine like terms: 0 + 33 = 33
1n = 33

Divide each side by '1'.
n = 33

Simplifying
n = 33