5(k-4)-4(k+1)-13=-31

Simple and best practice solution for 5(k-4)-4(k+1)-13=-31 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 5(k-4)-4(k+1)-13=-31 equation: 


Simplifying
5(k + -4) + -4(k + 1) + -13 = -31

Reorder the terms:
5(-4 + k) + -4(k + 1) + -13 = -31
(-4 * 5 + k * 5) + -4(k + 1) + -13 = -31
(-20 + 5k) + -4(k + 1) + -13 = -31

Reorder the terms:
-20 + 5k + -4(1 + k) + -13 = -31
-20 + 5k + (1 * -4 + k * -4) + -13 = -31
-20 + 5k + (-4 + -4k) + -13 = -31

Reorder the terms:
-20 + -4 + -13 + 5k + -4k = -31

Combine like terms: -20 + -4 = -24
-24 + -13 + 5k + -4k = -31

Combine like terms: -24 + -13 = -37
-37 + 5k + -4k = -31

Combine like terms: 5k + -4k = 1k
-37 + 1k = -31

Solving
-37 + 1k = -31

Solving for variable 'k'.

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

Add '37' to each side of the equation.
-37 + 37 + 1k = -31 + 37

Combine like terms: -37 + 37 = 0
0 + 1k = -31 + 37
1k = -31 + 37

Combine like terms: -31 + 37 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

See similar equations:

| m/81= | | -4.9x^2+2x-0.204=0 | | 1.2(8x+2)=-36 | | 3[-3(5x+3)+5(5x-2)]= | | 60/61/2=61/2/61/2 | | 4x^2y^2+28xy+49= | | -3x+5x-27=15 | | 3x^2-37=17 | | 2=b+10/-4 | | 5/-14a=-10 | | 9v-v=-19+14 | | -4a-6=-3a+6 | | 21(5-8v)+12=54 | | 6*x-3/5=7 | | 3(5z+1)-2(z+4)= | | m-2-8orm/81= | | 5j=60 | | 0.5X+0.25X+200=X | | 2z+7z=-13-11 | | 2r^2-28r+98=0 | | (5x^2+8x)(20x^2-3x-2)= | | 90=12 | | (2x+10)/15 | | y-4=-3(3-3) | | 3x-106+7x=64 | | 4x+43=7x+16 | | 7+d=22 | | 3w-5=4w | | 56w^2-17w-3= | | 6x-8=7x | | 8+7w=29 | | 117=9(x-5) |

Equations solver categories