5k-3(4k+1)=5(3-k)

Simple and best practice solution for 5k-3(4k+1)=5(3-k) 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 5k-3(4k+1)=5(3-k) equation:


Simplifying
5k + -3(4k + 1) = 5(3 + -1k)

Reorder the terms:
5k + -3(1 + 4k) = 5(3 + -1k)
5k + (1 * -3 + 4k * -3) = 5(3 + -1k)
5k + (-3 + -12k) = 5(3 + -1k)

Reorder the terms:
-3 + 5k + -12k = 5(3 + -1k)

Combine like terms: 5k + -12k = -7k
-3 + -7k = 5(3 + -1k)
-3 + -7k = (3 * 5 + -1k * 5)
-3 + -7k = (15 + -5k)

Solving
-3 + -7k = 15 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-3 + -7k + 5k = 15 + -5k + 5k

Combine like terms: -7k + 5k = -2k
-3 + -2k = 15 + -5k + 5k

Combine like terms: -5k + 5k = 0
-3 + -2k = 15 + 0
-3 + -2k = 15

Add '3' to each side of the equation.
-3 + 3 + -2k = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -2k = 15 + 3
-2k = 15 + 3

Combine like terms: 15 + 3 = 18
-2k = 18

Divide each side by '-2'.
k = -9

Simplifying
k = -9

See similar equations:

| 5p-3=27-p | | 2t-(3+t)=8 | | 5x^3+3x^2=20x+12 | | (5x-5)(x-8)=-34+76 | | x^2-17x-60=0 | | 3x^2=2(2x+1) | | 52-5x=4x+17 | | 4(a+3)=20 | | 2.3n-8=1.2n+3 | | 6-7x=28-21x | | p-9=4p | | -25-8x=7x+20 | | 4x+14=-82-8x | | -22-3x=6-7x | | 2x+12=52-3x | | 4+11x=94+x | | 10=3x-11 | | 3x^2+2x-1=0 | | -4=1-x | | x^8=6561 | | 45r^2=12+3r | | 3p-12=51 | | 51=2n+13 | | 3x-5=30-2x | | 9x-5-6x-1.3=0 | | 3x-5-1.3=0 | | 6x+8=62 | | 8-4m-8m=3m-4m+2 | | -2x+x-3+5=10 | | 6m-4=3m+8 | | 4x-2=9x+3 | | 7x+4=6x-1 |

Equations solver categories