7(2n-3)=(8n+9)+6

Simple and best practice solution for 7(2n-3)=(8n+9)+6 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 7(2n-3)=(8n+9)+6 equation:


Simplifying
7(2n + -3) = (8n + 9) + 6

Reorder the terms:
7(-3 + 2n) = (8n + 9) + 6
(-3 * 7 + 2n * 7) = (8n + 9) + 6
(-21 + 14n) = (8n + 9) + 6

Reorder the terms:
-21 + 14n = (9 + 8n) + 6

Remove parenthesis around (9 + 8n)
-21 + 14n = 9 + 8n + 6

Reorder the terms:
-21 + 14n = 9 + 6 + 8n

Combine like terms: 9 + 6 = 15
-21 + 14n = 15 + 8n

Solving
-21 + 14n = 15 + 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.
-21 + 14n + -8n = 15 + 8n + -8n

Combine like terms: 14n + -8n = 6n
-21 + 6n = 15 + 8n + -8n

Combine like terms: 8n + -8n = 0
-21 + 6n = 15 + 0
-21 + 6n = 15

Add '21' to each side of the equation.
-21 + 21 + 6n = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 6n = 15 + 21
6n = 15 + 21

Combine like terms: 15 + 21 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6

See similar equations:

| 7(2n-2)=(5n+9)+3 | | 3(2n-5)=(8n+9)+8 | | 7x+3+-12+2x= | | -[8]+[9]= | | 2.25/1.5 | | (m+n)y=m | | 96x-6x^5= | | -6+6=41 | | 1/5x4/1000 | | 1/5•4/1000 | | 4p+2d=17 | | 36=c^2-5c | | 9x-49=18x | | 2x-2+9=2420 | | 2-3x-40= | | 2+13x+36= | | 2+8x+15= | | 270/36 | | 2+11x+18= | | 600/112 | | 6/72 | | 1.2*x^2+2*x=0 | | x-10+6=0 | | 225/18 | | 182/48 | | 180/42 | | 506/20 | | 36/32 | | 3=-16+4 | | 5x-4+6x=2 | | 5y+2-3y=28 | | 63/15 |

Equations solver categories