4(4k+1)-8(k-2)=3(2k+4)-1

Simple and best practice solution for 4(4k+1)-8(k-2)=3(2k+4)-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(4k+1)-8(k-2)=3(2k+4)-1 equation:


Simplifying
4(4k + 1) + -8(k + -2) = 3(2k + 4) + -1

Reorder the terms:
4(1 + 4k) + -8(k + -2) = 3(2k + 4) + -1
(1 * 4 + 4k * 4) + -8(k + -2) = 3(2k + 4) + -1
(4 + 16k) + -8(k + -2) = 3(2k + 4) + -1

Reorder the terms:
4 + 16k + -8(-2 + k) = 3(2k + 4) + -1
4 + 16k + (-2 * -8 + k * -8) = 3(2k + 4) + -1
4 + 16k + (16 + -8k) = 3(2k + 4) + -1

Reorder the terms:
4 + 16 + 16k + -8k = 3(2k + 4) + -1

Combine like terms: 4 + 16 = 20
20 + 16k + -8k = 3(2k + 4) + -1

Combine like terms: 16k + -8k = 8k
20 + 8k = 3(2k + 4) + -1

Reorder the terms:
20 + 8k = 3(4 + 2k) + -1
20 + 8k = (4 * 3 + 2k * 3) + -1
20 + 8k = (12 + 6k) + -1

Reorder the terms:
20 + 8k = 12 + -1 + 6k

Combine like terms: 12 + -1 = 11
20 + 8k = 11 + 6k

Solving
20 + 8k = 11 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
20 + 8k + -6k = 11 + 6k + -6k

Combine like terms: 8k + -6k = 2k
20 + 2k = 11 + 6k + -6k

Combine like terms: 6k + -6k = 0
20 + 2k = 11 + 0
20 + 2k = 11

Add '-20' to each side of the equation.
20 + -20 + 2k = 11 + -20

Combine like terms: 20 + -20 = 0
0 + 2k = 11 + -20
2k = 11 + -20

Combine like terms: 11 + -20 = -9
2k = -9

Divide each side by '2'.
k = -4.5

Simplifying
k = -4.5

See similar equations:

| 11/2x-5/2=83/2 | | 3t+45+t+6=303 | | 3x^5-10x^3+15x-15=0 | | 4x+8x=3 | | 3y+x+12=6x^2 | | 11/2-5/2=83/2 | | 4t+5q=32 | | -3t^2+2t-3=0 | | log(x+2)=-1-log(x) | | 8x-1/3(12x=3)=0 | | x^2-2x=1/0 | | y=3x^2-12x-6 | | r^2+15r-4500=0 | | 3(4-x)+5y=4-2(x+1)-x | | 4x-1/3=0 | | 12a+14b+12= | | 16-4(3x-6)=-9x+26+4x | | 2x+3=-X-9 | | tanxxx=2/3 | | 6h+4h-2=14+4h+2 | | 0.05x+0.06y-8.9=0 | | 2x^5+3x^4-3x^3-2x^2=0 | | 4n-6=10e | | -4+6s=8s+6 | | 16-4(3x-6)=9x+26+4x | | 3.4+n=7.4 | | 0.05+0.06-8.9=0 | | -6h=6-7h | | .90=2.3-.075 | | (1+2cosx)(1-2cosx)=4sin^2x-3 | | -10(s+4)=33 | | 2.3-.75=1.40 |

Equations solver categories