5(2n+3)=8(8n+2)+6

Simple and best practice solution for 5(2n+3)=8(8n+2)+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 5(2n+3)=8(8n+2)+6 equation:


Simplifying
5(2n + 3) = 8(8n + 2) + 6

Reorder the terms:
5(3 + 2n) = 8(8n + 2) + 6
(3 * 5 + 2n * 5) = 8(8n + 2) + 6
(15 + 10n) = 8(8n + 2) + 6

Reorder the terms:
15 + 10n = 8(2 + 8n) + 6
15 + 10n = (2 * 8 + 8n * 8) + 6
15 + 10n = (16 + 64n) + 6

Reorder the terms:
15 + 10n = 16 + 6 + 64n

Combine like terms: 16 + 6 = 22
15 + 10n = 22 + 64n

Solving
15 + 10n = 22 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
15 + 10n + -64n = 22 + 64n + -64n

Combine like terms: 10n + -64n = -54n
15 + -54n = 22 + 64n + -64n

Combine like terms: 64n + -64n = 0
15 + -54n = 22 + 0
15 + -54n = 22

Add '-15' to each side of the equation.
15 + -15 + -54n = 22 + -15

Combine like terms: 15 + -15 = 0
0 + -54n = 22 + -15
-54n = 22 + -15

Combine like terms: 22 + -15 = 7
-54n = 7

Divide each side by '-54'.
n = -0.1296296296

Simplifying
n = -0.1296296296

See similar equations:

| 1/4(5x-1)=8 | | 2.1x+2.9=-9.7 | | -3(5x-4)+2=-15x+14 | | 37-10x=11 | | 6(x+2)/5=3x-3 | | 5x+12=2x+54 | | 13-9x=208-44x | | 8(2)+2y=8 | | 8+2y=8 | | 2(3x-4)=4x+4 | | 1/8x-1/4 | | -6z-9z=-5z+6+8z | | -2x-7/3=5/3 | | 3(7)+7y=7 | | a+13d=85 | | 12x^2+23+10=0 | | -2z+3z=-z-5+8z | | 27x^2+y^2+18y=0 | | 18=-5(4x+1)+21x | | 10x+-21=6x+3 | | 3x+7(4)=7 | | 3(9)+7y=7 | | 3(5)+7y=7 | | 3x+7(3)=7 | | 3x+7(2)=7 | | 3x+7(1)=7 | | -3y+4x=-6 | | y=2/35+7 | | y=2/35 | | 3x+9y=4 | | 16x+5xy=-4x+10 | | 5y^2*2=0 |

Equations solver categories