5(3n+2)=9(7n+5)+6

Simple and best practice solution for 5(3n+2)=9(7n+5)+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(3n+2)=9(7n+5)+6 equation: 


Simplifying
5(3n + 2) = 9(7n + 5) + 6

Reorder the terms:
5(2 + 3n) = 9(7n + 5) + 6
(2 * 5 + 3n * 5) = 9(7n + 5) + 6
(10 + 15n) = 9(7n + 5) + 6

Reorder the terms:
10 + 15n = 9(5 + 7n) + 6
10 + 15n = (5 * 9 + 7n * 9) + 6
10 + 15n = (45 + 63n) + 6

Reorder the terms:
10 + 15n = 45 + 6 + 63n

Combine like terms: 45 + 6 = 51
10 + 15n = 51 + 63n

Solving
10 + 15n = 51 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
10 + 15n + -63n = 51 + 63n + -63n

Combine like terms: 15n + -63n = -48n
10 + -48n = 51 + 63n + -63n

Combine like terms: 63n + -63n = 0
10 + -48n = 51 + 0
10 + -48n = 51

Add '-10' to each side of the equation.
10 + -10 + -48n = 51 + -10

Combine like terms: 10 + -10 = 0
0 + -48n = 51 + -10
-48n = 51 + -10

Combine like terms: 51 + -10 = 41
-48n = 41

Divide each side by '-48'.
n = -0.8541666667

Simplifying
n = -0.8541666667

See similar equations:

| 4x-5+2x-1+3x+6=180 | | 2r+9=13 | | -8+5x=-38 | | 0.891(0.7-x)=0.5+x | | 15n+10=63n+45+6 | | p-(-1)=(-14) | | y=4y+6 | | (0-2)m=4 | | X^2-22x+24=-8x | | 3(x-2y)+6=0 | | 7(x+4)-3(1+x)=-19 | | 6x+3-x=63 | | .03x=0.2 | | 15p+q-10p+11q= | | x+88=90 | | -2(x-2)=6 | | 56=m+87 | | 5(7-y)+2y=23 | | x^2-4x+4x=3 | | 7.5+y=5 | | 4x+8+4x=56 | | 7y+3y-4y=18 | | 6x+15=-x+54 | | 0.33333333y-6=0.5y | | 9x+2=-3+6x+11 | | 3h-4=15 | | 0.33y-6=0.5y | | -6(5-x)-6(5-x)=30 | | -14-x=8x-9 | | f(x)=-x^6+2 | | 5(x+2)=2x+2(4+1)+3x | | 0.5x-7=5.5 |

Equations solver categories