4(3n+5)=6(4n+9)+1

Simple and best practice solution for 4(3n+5)=6(4n+9)+1 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+5)=6(4n+9)+1 equation: 


Simplifying
4(3n + 5) = 6(4n + 9) + 1

Reorder the terms:
4(5 + 3n) = 6(4n + 9) + 1
(5 * 4 + 3n * 4) = 6(4n + 9) + 1
(20 + 12n) = 6(4n + 9) + 1

Reorder the terms:
20 + 12n = 6(9 + 4n) + 1
20 + 12n = (9 * 6 + 4n * 6) + 1
20 + 12n = (54 + 24n) + 1

Reorder the terms:
20 + 12n = 54 + 1 + 24n

Combine like terms: 54 + 1 = 55
20 + 12n = 55 + 24n

Solving
20 + 12n = 55 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
20 + 12n + -24n = 55 + 24n + -24n

Combine like terms: 12n + -24n = -12n
20 + -12n = 55 + 24n + -24n

Combine like terms: 24n + -24n = 0
20 + -12n = 55 + 0
20 + -12n = 55

Add '-20' to each side of the equation.
20 + -20 + -12n = 55 + -20

Combine like terms: 20 + -20 = 0
0 + -12n = 55 + -20
-12n = 55 + -20

Combine like terms: 55 + -20 = 35
-12n = 35

Divide each side by '-12'.
n = -2.916666667

Simplifying
n = -2.916666667

See similar equations:

| (2/3x)+(4/3)=(-2/3) | | 200m-75m+53625=55000-150m | | 0.5x^2+.375x=2 | | 2/3x+11=x+4 | | 9(y+2)=11y-2y+7 | | 4x+2=-(-4x-2) | | -(-9h-4)= | | 10X2/5 | | 2x+31-3x=-9 | | -4(-2)-2= | | 1/5p-3=-1/3p+5 | | 7x^2/3=2x/3-1 | | 7+4(5y+8)=2(2+1)+5 | | 2x(4x^2-6x-25)=-75 | | 3/5(10) | | 4x+2=-(4x-2) | | -3y=12-7x | | -9x=3x+18 | | 18+(-14)= | | 7a-(2a+8c)-2c= | | 13-n=7 | | 8x^3-12x^2-50x+75=0 | | 2w+20=8w+20 | | 4-(9z-6)=-3(8z+4)+8 | | 3xy=9-x^2 | | -13=(-7)-7 | | 4x/6-(2-3x)/8=7x+8/12 | | 4-(9z-6)=-3(8x+4)+8 | | 72+6x=82+5x | | 4(x+8)=8+3X | | 4x-29=2(2x+1) | | 2x^2+11x+14 |

Equations solver categories