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

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

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

Reorder the terms:
2 + 5n + -2n = 2(n + 3)

Combine like terms: 5n + -2n = 3n
2 + 3n = 2(n + 3)

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

Solving
2 + 3n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
2 + 3n + -2n = 6 + 2n + -2n

Combine like terms: 3n + -2n = 1n
2 + 1n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
2 + 1n = 6 + 0
2 + 1n = 6

Add '-2' to each side of the equation.
2 + -2 + 1n = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 6 + -2
1n = 6 + -2

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

Divide each side by '1'.
n = 4

Simplifying
n = 4