2(2n+1)=3(n-2)+10

Solution for 2(2n+1)=3(n-2)+10 equation:

Simplifying
2(2n + 1) = 3(n + -2) + 10

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

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

Reorder the terms:
2 + 4n = -6 + 10 + 3n

Combine like terms: -6 + 10 = 4
2 + 4n = 4 + 3n

Solving
2 + 4n = 4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2 + 4n + -3n = 4 + 3n + -3n

Combine like terms: 4n + -3n = 1n
2 + 1n = 4 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 1n = 4 + 0
2 + 1n = 4

Add '-2' to each side of the equation.
2 + -2 + 1n = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 4 + -2
1n = 4 + -2

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

Divide each side by '1'.
n = 2

Simplifying
n = 2