T(n)=T(n-4)+2n-5

Simple and best practice solution for T(n)=T(n-4)+2n-5 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 T(n)=T(n-4)+2n-5 equation: 


Simplifying
T(n) = T(n + -4) + 2n + -5

Multiply T * n
nT = T(n + -4) + 2n + -5

Reorder the terms:
nT = T(-4 + n) + 2n + -5
nT = (-4 * T + n * T) + 2n + -5
nT = (-4T + nT) + 2n + -5

Reorder the terms:
nT = -5 + -4T + 2n + nT

Add '-1nT' to each side of the equation.
nT + -1nT = -5 + -4T + 2n + nT + -1nT

Combine like terms: nT + -1nT = 0
0 = -5 + -4T + 2n + nT + -1nT

Combine like terms: nT + -1nT = 0
0 = -5 + -4T + 2n + 0
0 = -5 + -4T + 2n

Solving
0 = -5 + -4T + 2n

Solving for variable 'T'.

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

Add '4T' to each side of the equation.
0 + 4T = -5 + -4T + 4T + 2n
Remove the zero:
4T = -5 + -4T + 4T + 2n

Combine like terms: -4T + 4T = 0
4T = -5 + 0 + 2n
4T = -5 + 2n

Divide each side by '4'.
T = -1.25 + 0.5n

Simplifying
T = -1.25 + 0.5n

See similar equations:

| 7-3g=8g-15 | | 0.15y+0.07(y+7000)=1810 | | x+7+x+5+x^2-3x+3x-2=0 | | 7x-7+2-4=x-4 | | (6-14n)=(28n)*378 | | 4-4+2x=10-4 | | 5x+6=3x-22 | | 3(7+6x)-11=8-2(x-11) | | 104-x=51 | | 0.5*(3-4x)=2-0.5*(6+3x) | | M-5=-13 | | 6-14n=28n*378 | | 4=-2+4 | | 19=6+3(2m+3) | | 4m(m-2)=4-2m | | (2z-9)=0 | | (-3-2)*2-(4-8)*2-(-6)= | | lx-4l=5x+8 | | 24+6x=96-3x | | 3s-4b=26 | | 0=-2(x+5)+3 | | 15(v+3)-3v=3(4v+2)-10 | | 4h-7=14-3h | | 4-2x=-7x+4 | | 3k+9-k-17= | | -5/9x=-10 | | 9x+19=35 | | 2x+1.5y-1=4+x | | 3-4(x+3)=6x-29 | | 2(6y-1)=-38 | | 2.5x+3=0.5x-9 | | 2xy-3xy=0 |

Equations solver categories