4(3n+4)=7(8n+7)+2

Simple and best practice solution for 4(3n+4)=7(8n+7)+2 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 4(3n+4)=7(8n+7)+2 equation: 


Simplifying
4(3n + 4) = 7(8n + 7) + 2

Reorder the terms:
4(4 + 3n) = 7(8n + 7) + 2
(4 * 4 + 3n * 4) = 7(8n + 7) + 2
(16 + 12n) = 7(8n + 7) + 2

Reorder the terms:
16 + 12n = 7(7 + 8n) + 2
16 + 12n = (7 * 7 + 8n * 7) + 2
16 + 12n = (49 + 56n) + 2

Reorder the terms:
16 + 12n = 49 + 2 + 56n

Combine like terms: 49 + 2 = 51
16 + 12n = 51 + 56n

Solving
16 + 12n = 51 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
16 + 12n + -56n = 51 + 56n + -56n

Combine like terms: 12n + -56n = -44n
16 + -44n = 51 + 56n + -56n

Combine like terms: 56n + -56n = 0
16 + -44n = 51 + 0
16 + -44n = 51

Add '-16' to each side of the equation.
16 + -16 + -44n = 51 + -16

Combine like terms: 16 + -16 = 0
0 + -44n = 51 + -16
-44n = 51 + -16

Combine like terms: 51 + -16 = 35
-44n = 35

Divide each side by '-44'.
n = -0.7954545455

Simplifying
n = -0.7954545455

See similar equations:

| .54x-.23=1.06 | | -6(3y+15)=18 | | 3e-d=4a-5 | | 4(-6x-8)=3x+12 | | 7v+2=27 | | 65=72z | | x^2(3x-2)+2x+1=0 | | 12x^3-4x^2-5x=0 | | 4x^3+8x^2=15x-9 | | -5(t+4)=20 | | 3.2+0.3x=0.2+1.4 | | 6(x-1)=8 | | x+-5=3 | | -38=-19x | | 28=-3x-1 | | 5+0.5=x | | -m=-1 | | 9-4x=8x+18 | | 5a+3c=2a+7c | | 117-5x=13x+23 | | --18+5k=k-2k | | 7-9x=15-16x | | 3.8y=27.36 | | 15X+30=6X+183 | | 4(2g-33)=2g | | x^4+3x^3-2x-7=0 | | -9=-n | | -6/5*-1= | | 3x^2+150=180 | | 3y-8+y+46=8y+40-6y | | 3x=(7x-14)+16 | | x+0.04*x=3815 |

Equations solver categories