3(2n-6)=-4(n-3)

Simple and best practice solution for 3(2n-6)=-4(n-3) 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 3(2n-6)=-4(n-3) equation:


Simplifying
3(2n + -6) = -4(n + -3)

Reorder the terms:
3(-6 + 2n) = -4(n + -3)
(-6 * 3 + 2n * 3) = -4(n + -3)
(-18 + 6n) = -4(n + -3)

Reorder the terms:
-18 + 6n = -4(-3 + n)
-18 + 6n = (-3 * -4 + n * -4)
-18 + 6n = (12 + -4n)

Solving
-18 + 6n = 12 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-18 + 6n + 4n = 12 + -4n + 4n

Combine like terms: 6n + 4n = 10n
-18 + 10n = 12 + -4n + 4n

Combine like terms: -4n + 4n = 0
-18 + 10n = 12 + 0
-18 + 10n = 12

Add '18' to each side of the equation.
-18 + 18 + 10n = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10n = 12 + 18
10n = 12 + 18

Combine like terms: 12 + 18 = 30
10n = 30

Divide each side by '10'.
n = 3

Simplifying
n = 3

See similar equations:

| 2p(9-p)=0 | | 7x-44=3x | | 21=s*4 | | 0.80x+.05(6-x)=.10(-72) | | 2x-7=4x-21 | | 4x(7+x)=0 | | 5x+34=8x+7 | | (-10)+4= | | z(z+3)=0 | | 25x^2+50x+2=0 | | 7(6m+7)(m+1)=0 | | 6x+7=2x+31 | | 12x^2-19x+5=0 | | x(x-5)=0 | | 0.45x+.05(10-x)=.10(13) | | 14x^2+73x+45=0 | | 2x^2-x-153=0 | | 6v^2-30v+24=0 | | 15x^2-23x+4=0 | | 3x^2-2x-3=0 | | 18(m+.444)-16=118 | | 1.5w=6 | | .6666666667y+6=y | | -13x^2+65=0 | | 3(5z-1)-2(z+8)=6(z+1) | | 8x^2+72=0 | | 14x^2+17x-45=0 | | 2y-3x+5=0 | | 20x+80=140+10x | | 5x^2-10x=-3 | | 3x-1-4x=-2x+x-10 | | 0.04166666666s^2=150 |

Equations solver categories