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

Simple and best practice solution for 2(2n+1)+n=3n-2+5n+7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(2n+1)+n=3n-2+5n+7 equation: 


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

Reorder the terms:
2(1 + 2n) + n = 3n + -2 + 5n + 7
(1 * 2 + 2n * 2) + n = 3n + -2 + 5n + 7
(2 + 4n) + n = 3n + -2 + 5n + 7

Combine like terms: 4n + n = 5n
2 + 5n = 3n + -2 + 5n + 7

Reorder the terms:
2 + 5n = -2 + 7 + 3n + 5n

Combine like terms: -2 + 7 = 5
2 + 5n = 5 + 3n + 5n

Combine like terms: 3n + 5n = 8n
2 + 5n = 5 + 8n

Solving
2 + 5n = 5 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 5n + -8n = 5 + 8n + -8n

Combine like terms: 5n + -8n = -3n
2 + -3n = 5 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -3n = 5 + 0
2 + -3n = 5

Add '-2' to each side of the equation.
2 + -2 + -3n = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = 5 + -2
-3n = 5 + -2

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

Divide each side by '-3'.
n = -1

Simplifying
n = -1

See similar equations:

| 8n-6-5n=6 | | 3x+6(4x+8)=183 | | N-17=-35 | | 3(w-5)-2(1-w)=3(4-w) | | 9/20.5/6 | | 8x-92=12 | | -9.47-2.5z=-1.2z+11.46 | | 14=3x+26 | | 65.1=173.8 | | 3(-7p-4)=4(1-5p) | | [p]-2/3=5/6 | | 5-3[2+1]+4= | | 3(g-2)-12=2(g-3)-5 | | 6.9=7.7-0.2x | | y-3/4x-4=0 | | 0.2g=0.9g+13.16 | | -5a+6=69-38 | | -42=3t | | -19.97+0.7m=-1.4m+8.5-19.8m | | -3x+3(6x-18)= | | 57=z+21 | | 285=5(1+7x) | | 4x-x+5y-2y-13xy= | | 3bcd=-45 | | t+16=24 | | -p+1=-2p+19 | | 19c+26=41+14cm | | 7x-13=5x+10 | | 2x+3+3x=18 | | 17n=16+13n | | q-1=12 | | 9(x-4)=3x-12 |

Equations solver categories