4(T-5)+3=T+1

Solution for 4(T-5)+3=T+1 equation:

Simplifying
4(T + -5) + 3 = T + 1

Reorder the terms:
4(-5 + T) + 3 = T + 1
(-5 * 4 + T * 4) + 3 = T + 1
(-20 + 4T) + 3 = T + 1

Reorder the terms:
-20 + 3 + 4T = T + 1

Combine like terms: -20 + 3 = -17
-17 + 4T = T + 1

Reorder the terms:
-17 + 4T = 1 + T

Solving
-17 + 4T = 1 + T

Solving for variable 'T'.

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

Add '-1T' to each side of the equation.
-17 + 4T + -1T = 1 + T + -1T

Combine like terms: 4T + -1T = 3T
-17 + 3T = 1 + T + -1T

Combine like terms: T + -1T = 0
-17 + 3T = 1 + 0
-17 + 3T = 1

Add '17' to each side of the equation.
-17 + 17 + 3T = 1 + 17

Combine like terms: -17 + 17 = 0
0 + 3T = 1 + 17
3T = 1 + 17

Combine like terms: 1 + 17 = 18
3T = 18

Divide each side by '3'.
T = 6

Simplifying
T = 6