3(4*k+14)=10*k-2(k-7)

Simple and best practice solution for 3(4*k+14)=10*k-2(k-7) 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 3(4*k+14)=10*k-2(k-7) equation: 


Simplifying
3(4k + 14) = 10k + -2(k + -7)

Reorder the terms:
3(14 + 4k) = 10k + -2(k + -7)
(14 * 3 + 4k * 3) = 10k + -2(k + -7)
(42 + 12k) = 10k + -2(k + -7)

Reorder the terms:
42 + 12k = 10k + -2(-7 + k)
42 + 12k = 10k + (-7 * -2 + k * -2)
42 + 12k = 10k + (14 + -2k)

Reorder the terms:
42 + 12k = 14 + 10k + -2k

Combine like terms: 10k + -2k = 8k
42 + 12k = 14 + 8k

Solving
42 + 12k = 14 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
42 + 12k + -8k = 14 + 8k + -8k

Combine like terms: 12k + -8k = 4k
42 + 4k = 14 + 8k + -8k

Combine like terms: 8k + -8k = 0
42 + 4k = 14 + 0
42 + 4k = 14

Add '-42' to each side of the equation.
42 + -42 + 4k = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 4k = 14 + -42
4k = 14 + -42

Combine like terms: 14 + -42 = -28
4k = -28

Divide each side by '4'.
k = -7

Simplifying
k = -7

See similar equations:

| -5(2x+2)+8x=16 | | -3(r+6)=-47 | | 3(3u+2)+5u=5(u-3)+2u | | 4-7a=12-38 | | 16=9x+1-4x | | 6c/5-12 | | 6(y-7)-5y=10 | | 9*t-21=3(t-7) | | 9*t-21=3(t-7)+6*t | | 2x^4－4x^3＋9x^2－12x＋9 | | 3+7i-3i+4= | | 6.01x-5.61=5.83x-4.152 | | b-5+3b=26 | | 5y-1=8(y-2) | | b-5+3b=2b | | 6(z-2)+9(z-1)= | | 11=4x+3-2x | | 3-11a=12-3a | | 0=3t^2+8t-3 | | 2x+3(x+3)=44 | | 6+6(2*t-1)=3+12*t | | 6(z-2)+0(z-1)= | | 3(3-m)=13-m | | 10y^3-4y^2-2y=-5y^3+3y^2 | | x=-2-4 | | 3(3-m)=1 | | X+(-5)=2x-q | | 2x+5x-9=33 | | -11x=-3 | | x+5(x+2)=38 | | 5x+16=-34 | | 6X-5Y=24 |

Equations solver categories