3(1-T)-5=3(1+T)-7

Solution for 3(1-T)-5=3(1+T)-7 equation:

Simplifying
3(1 + -1T) + -5 = 3(1 + T) + -7
(1 * 3 + -1T * 3) + -5 = 3(1 + T) + -7
(3 + -3T) + -5 = 3(1 + T) + -7

Reorder the terms:
3 + -5 + -3T = 3(1 + T) + -7

Combine like terms: 3 + -5 = -2
-2 + -3T = 3(1 + T) + -7
-2 + -3T = (1 * 3 + T * 3) + -7
-2 + -3T = (3 + 3T) + -7

Reorder the terms:
-2 + -3T = 3 + -7 + 3T

Combine like terms: 3 + -7 = -4
-2 + -3T = -4 + 3T

Solving
-2 + -3T = -4 + 3T

Solving for variable 'T'.

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

Add '-3T' to each side of the equation.
-2 + -3T + -3T = -4 + 3T + -3T

Combine like terms: -3T + -3T = -6T
-2 + -6T = -4 + 3T + -3T

Combine like terms: 3T + -3T = 0
-2 + -6T = -4 + 0
-2 + -6T = -4

Add '2' to each side of the equation.
-2 + 2 + -6T = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -6T = -4 + 2
-6T = -4 + 2

Combine like terms: -4 + 2 = -2
-6T = -2

Divide each side by '-6'.
T = 0.3333333333

Simplifying
T = 0.3333333333