6(n+10)=9n+42

Simple and best practice solution for 6(n+10)=9n+42 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 6(n+10)=9n+42 equation:


Simplifying
6(n + 10) = 9n + 42

Reorder the terms:
6(10 + n) = 9n + 42
(10 * 6 + n * 6) = 9n + 42
(60 + 6n) = 9n + 42

Reorder the terms:
60 + 6n = 42 + 9n

Solving
60 + 6n = 42 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
60 + 6n + -9n = 42 + 9n + -9n

Combine like terms: 6n + -9n = -3n
60 + -3n = 42 + 9n + -9n

Combine like terms: 9n + -9n = 0
60 + -3n = 42 + 0
60 + -3n = 42

Add '-60' to each side of the equation.
60 + -60 + -3n = 42 + -60

Combine like terms: 60 + -60 = 0
0 + -3n = 42 + -60
-3n = 42 + -60

Combine like terms: 42 + -60 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

See similar equations:

| 12+5f-2f=9 | | 7y-2(3-y)=4(y+1) | | 22+-5(6v-1)=-63 | | 2(x+1)+15x=-(3x-17)+5x | | a+4a-6=54 | | 8(5x-3)=5x+11 | | 5-3(4-2x)=4(x-3)-3 | | 5x+13=4x+9 | | 435=(25+x)+(3x)+x | | 7x(4x-3)(4x+5)=0 | | .66666(5x-16)=10 | | 1+6x=3x+28 | | -96=24x | | 13x=-104 | | 13x=-104 | | 11x=10x+25 | | 2(2-3Z)=8-2(4Z+5) | | -5x-4+3x=-28 | | 4x^2+-87x+-41=0 | | 2a+3b+4c=44 | | 3(w+2)=(12-w) | | 6(x+2)=4-(3-2x)-1 | | 2q^2+4q-1=7q^2+1 | | 2q^2+4q=7q^2+1 | | -4x-3-7x=19 | | 7x-2=5x+22 | | 3y-(4-2y)=3(y+2) | | -7x-1-4x=-78 | | (x+4)-(x-6)=5(x-8) | | 8(x+5)+4=8x+4 | | 3n+46=18n | | 5d-(d+3)=(d+2)+7 |

Equations solver categories