5(2n+1)=9(6n+1)+7

Simple and best practice solution for 5(2n+1)=9(6n+1)+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 5(2n+1)=9(6n+1)+7 equation:


Simplifying
5(2n + 1) = 9(6n + 1) + 7

Reorder the terms:
5(1 + 2n) = 9(6n + 1) + 7
(1 * 5 + 2n * 5) = 9(6n + 1) + 7
(5 + 10n) = 9(6n + 1) + 7

Reorder the terms:
5 + 10n = 9(1 + 6n) + 7
5 + 10n = (1 * 9 + 6n * 9) + 7
5 + 10n = (9 + 54n) + 7

Reorder the terms:
5 + 10n = 9 + 7 + 54n

Combine like terms: 9 + 7 = 16
5 + 10n = 16 + 54n

Solving
5 + 10n = 16 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
5 + 10n + -54n = 16 + 54n + -54n

Combine like terms: 10n + -54n = -44n
5 + -44n = 16 + 54n + -54n

Combine like terms: 54n + -54n = 0
5 + -44n = 16 + 0
5 + -44n = 16

Add '-5' to each side of the equation.
5 + -5 + -44n = 16 + -5

Combine like terms: 5 + -5 = 0
0 + -44n = 16 + -5
-44n = 16 + -5

Combine like terms: 16 + -5 = 11
-44n = 11

Divide each side by '-44'.
n = -0.25

Simplifying
n = -0.25

See similar equations:

| 3/4x=12.5 | | 53=-12+x | | 4(b+7)=2b+37 | | 9+3*4= | | 0.18x+0.6(x-3)=0.01(4x-4) | | 16=19+4x-3 | | 8=4(7p-3) | | 1/4x+6 | | -49+C=29 | | X+16+2x-16=180 | | X^(5/4)-12X^(5/8)+36 | | 9a=0.54 | | 5(9-3)=W*9*5*3 | | 12x-10=10x-20 | | -7.8x+1.3=1.8x+3.7 | | 18+.5-.1x+x=5x | | 3w=4-w+5w-2(w-2) | | 1/5(2x-15)+3/5y=41/4 | | a-2/9-3(a-3)/10=3a+6/3 | | 5/9z^3+1/15z^2 | | -7x+6=9x-4 | | -5(x-2)=5x-40 | | y=p+q+r/2 | | -42--113=b | | 1/9(8t-9)=10/9t-t+9/18 | | 7(-4-8/3x)/-5=28 | | 3y+5x=-20 | | B/14-18 | | A/3-19 | | 22/3=n/3 | | 380X+285(35-x)=11875 | | 17=4(x-3)-(x-8) |

Equations solver categories