7(k+4)-(-4k-3)=10k

Simple and best practice solution for 7(k+4)-(-4k-3)=10k 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 7(k+4)-(-4k-3)=10k equation:


Simplifying
7(k + 4) + -1(-4k + -3) = 10k

Reorder the terms:
7(4 + k) + -1(-4k + -3) = 10k
(4 * 7 + k * 7) + -1(-4k + -3) = 10k
(28 + 7k) + -1(-4k + -3) = 10k

Reorder the terms:
28 + 7k + -1(-3 + -4k) = 10k
28 + 7k + (-3 * -1 + -4k * -1) = 10k
28 + 7k + (3 + 4k) = 10k

Reorder the terms:
28 + 3 + 7k + 4k = 10k

Combine like terms: 28 + 3 = 31
31 + 7k + 4k = 10k

Combine like terms: 7k + 4k = 11k
31 + 11k = 10k

Solving
31 + 11k = 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
31 + 11k + -10k = 10k + -10k

Combine like terms: 11k + -10k = 1k
31 + 1k = 10k + -10k

Combine like terms: 10k + -10k = 0
31 + 1k = 0

Add '-31' to each side of the equation.
31 + -31 + 1k = 0 + -31

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

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

Divide each side by '1'.
k = -31

Simplifying
k = -31

See similar equations:

| 8w-1=-17 | | 3x-4=10+x | | 6y-3y=-4 | | 3x-3=8+1 | | 8y-(30-3y)-(6+10y)=0 | | 6x+17=13x-60 | | 5x+4=-3+3x+13 | | 12x+9=33 | | 6x-5=2x+39 | | 4x-7=21 | | 8y-(30-3y)-(6+10y)=4 | | 3x-12=2-4x | | 6x^2=13x+28 | | 4x-1=7x+4 | | -7(x+6)+369=19+14 | | 5x=-14x+6 | | 9x-4=6x+5 | | 3m^2-5m=-2 | | 2x+62=7x+12 | | 9x+8=2x+8 | | 0=4x^2-9 | | a^2+6a-72=0 | | 3x+53=7x+13 | | -91-9x=52-16x | | 3x-1=-1 | | 9y=15y^2 | | 3c^2+8c-3=0 | | -3x-4y=8 | | -2x-6y=12 | | 2x^2+21x-50= | | -8-5x=12-9x | | -13=3x+8 |

Equations solver categories