5-[t+3]=-1+2[t-3]

Solution for 5-[t+3]=-1+2[t-3] equation:

Simplifying
5 + -1[t + 3] = -1 + 2[t + -3]

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

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

Reorder the terms:
2 + -1t = -1 + 2[-3 + t]
2 + -1t = -1 + [-3 * 2 + t * 2]
2 + -1t = -1 + [-6 + 2t]

Combine like terms: -1 + -6 = -7
2 + -1t = -7 + 2t

Solving
2 + -1t = -7 + 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.
2 + -1t + -2t = -7 + 2t + -2t

Combine like terms: -1t + -2t = -3t
2 + -3t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
2 + -3t = -7 + 0
2 + -3t = -7

Add '-2' to each side of the equation.
2 + -2 + -3t = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3t = -7 + -2
-3t = -7 + -2

Combine like terms: -7 + -2 = -9
-3t = -9

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

Simplifying
t = 3