(t-5)-(t+3)=2t

Solution for (t-5)-(t+3)=2t equation:

Simplifying
(t + -5) + -1(t + 3) = 2t

Reorder the terms:
(-5 + t) + -1(t + 3) = 2t

Remove parenthesis around (-5 + t)
-5 + t + -1(t + 3) = 2t

Reorder the terms:
-5 + t + -1(3 + t) = 2t
-5 + t + (3 * -1 + t * -1) = 2t
-5 + t + (-3 + -1t) = 2t

Reorder the terms:
-5 + -3 + t + -1t = 2t

Combine like terms: -5 + -3 = -8
-8 + t + -1t = 2t

Combine like terms: t + -1t = 0
-8 + 0 = 2t
-8 = 2t

Solving
-8 = 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-8 + -2t = 2t + -2t

Combine like terms: 2t + -2t = 0
-8 + -2t = 0

Add '8' to each side of the equation.
-8 + 8 + -2t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -2t = 0 + 8
-2t = 0 + 8

Combine like terms: 0 + 8 = 8
-2t = 8

Divide each side by '-2'.
t = -4

Simplifying
t = -4