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

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

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

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

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

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

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

Combine like terms: -1 + -3 = -4
2 + -1t = -4 + t

Solving
2 + -1t = -4 + 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.
2 + -1t + -1t = -4 + t + -1t

Combine like terms: -1t + -1t = -2t
2 + -2t = -4 + t + -1t

Combine like terms: t + -1t = 0
2 + -2t = -4 + 0
2 + -2t = -4

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

Combine like terms: 2 + -2 = 0
0 + -2t = -4 + -2
-2t = -4 + -2

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

Divide each side by '-2'.
t = 3

Simplifying
t = 3