3k-2+k-5=-6(4-k)-(3+7k)

Simple and best practice solution for 3k-2+k-5=-6(4-k)-(3+7k) 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 3k-2+k-5=-6(4-k)-(3+7k) equation:


Simplifying
3k + -2 + k + -5 = -6(4 + -1k) + -1(3 + 7k)

Reorder the terms:
-2 + -5 + 3k + k = -6(4 + -1k) + -1(3 + 7k)

Combine like terms: -2 + -5 = -7
-7 + 3k + k = -6(4 + -1k) + -1(3 + 7k)

Combine like terms: 3k + k = 4k
-7 + 4k = -6(4 + -1k) + -1(3 + 7k)
-7 + 4k = (4 * -6 + -1k * -6) + -1(3 + 7k)
-7 + 4k = (-24 + 6k) + -1(3 + 7k)
-7 + 4k = -24 + 6k + (3 * -1 + 7k * -1)
-7 + 4k = -24 + 6k + (-3 + -7k)

Reorder the terms:
-7 + 4k = -24 + -3 + 6k + -7k

Combine like terms: -24 + -3 = -27
-7 + 4k = -27 + 6k + -7k

Combine like terms: 6k + -7k = -1k
-7 + 4k = -27 + -1k

Solving
-7 + 4k = -27 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-7 + 4k + k = -27 + -1k + k

Combine like terms: 4k + k = 5k
-7 + 5k = -27 + -1k + k

Combine like terms: -1k + k = 0
-7 + 5k = -27 + 0
-7 + 5k = -27

Add '7' to each side of the equation.
-7 + 7 + 5k = -27 + 7

Combine like terms: -7 + 7 = 0
0 + 5k = -27 + 7
5k = -27 + 7

Combine like terms: -27 + 7 = -20
5k = -20

Divide each side by '5'.
k = -4

Simplifying
k = -4

See similar equations:

| x-8.3=5.5 | | 32x^2+40x+12=0 | | 14x+7=7+14x | | 48=10x-19+4x | | -9.6=16 | | 4/9*3/10 | | -0.151=-0.008h | | 0.151n=-0.008 | | 2x-2(8y-23)=4 | | 7x-25=-28+4x | | 2x-2(8y-23)=23 | | 12r-6s=t | | (4/9-x)^-1 | | y-9/4=3/4 | | 7-3x=2x+7-5x | | X-(8*3.14)=3.14 | | 18=7x+4-6x | | m+5n=p | | -2+8n-4=14 | | -56-11x=-18x+7 | | 8/2x=12/9 | | 9+4r=4r-3-6 | | 3x-6=5x-2 | | Iny=ktfory | | y+6=-(x-8) | | (a)=x^2-2x-13 | | z=4x | | 2n^2+n-21=0 | | (0)=x^2-2x-13 | | 30/3360 | | (-3)=x^2-2x-13 | | 8(3-3a)-8(6a+5)=32 |

Equations solver categories