4(2n+5)=7(5n+8)+6

Simple and best practice solution for 4(2n+5)=7(5n+8)+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 4(2n+5)=7(5n+8)+6 equation: 


Simplifying
4(2n + 5) = 7(5n + 8) + 6

Reorder the terms:
4(5 + 2n) = 7(5n + 8) + 6
(5 * 4 + 2n * 4) = 7(5n + 8) + 6
(20 + 8n) = 7(5n + 8) + 6

Reorder the terms:
20 + 8n = 7(8 + 5n) + 6
20 + 8n = (8 * 7 + 5n * 7) + 6
20 + 8n = (56 + 35n) + 6

Reorder the terms:
20 + 8n = 56 + 6 + 35n

Combine like terms: 56 + 6 = 62
20 + 8n = 62 + 35n

Solving
20 + 8n = 62 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
20 + 8n + -35n = 62 + 35n + -35n

Combine like terms: 8n + -35n = -27n
20 + -27n = 62 + 35n + -35n

Combine like terms: 35n + -35n = 0
20 + -27n = 62 + 0
20 + -27n = 62

Add '-20' to each side of the equation.
20 + -20 + -27n = 62 + -20

Combine like terms: 20 + -20 = 0
0 + -27n = 62 + -20
-27n = 62 + -20

Combine like terms: 62 + -20 = 42
-27n = 42

Divide each side by '-27'.
n = -1.555555556

Simplifying
n = -1.555555556

See similar equations:

| 0.7(x+100)+0.1x=86 | | 3+6k=8x-5 | | ab+1=ab+1 | | -3(3+6k)=-8k+39 | | 3(m+4)=6m-12 | | 12-6x=3x+9 | | 2X+10=8X+46 | | 48=2/5x | | 4-m/2 | | 9x-2y+12= | | -5(p-6)=-2p+2(p-10) | | 3n-2(5n-8)=12n+32 | | 41=3/5x-7 | | 32=2/5(15x-10) | | 7-3v=v-5 | | 0.1x-0.1(3-x)=0.2 | | 3x+18=8x | | P(x)=x^4-3x^3-53x^2-9x | | 5x-1/5=2x-3/5 | | 11-8v=4+7(1+6v) | | -5/-4 | | 90=-3(6+6b) | | 10k-3/-73 | | 1-2x-3-4=3-4x+5-4 | | -5k-3=1-4k | | 35x+56=7(5x+8) | | (5x+8)(5x-8)=0 | | 6x+6-(4x-4)=12 | | 8x+12y=20+8x | | 12x+8-35x-25=y | | 6-3(9+x)-9x= | | y=50(3)+12 |

Equations solver categories