2[t-(3t-8)+5]=2(t+3)

Solution for 2[t-(3t-8)+5]=2(t+3) equation:

Simplifying
2[t + -1(3t + -8) + 5] = 2(t + 3)

Reorder the terms:
2[t + -1(-8 + 3t) + 5] = 2(t + 3)
2[t + (-8 * -1 + 3t * -1) + 5] = 2(t + 3)
2[t + (8 + -3t) + 5] = 2(t + 3)

Reorder the terms:
2[8 + 5 + t + -3t] = 2(t + 3)

Combine like terms: 8 + 5 = 13
2[13 + t + -3t] = 2(t + 3)

Combine like terms: t + -3t = -2t
2[13 + -2t] = 2(t + 3)
[13 * 2 + -2t * 2] = 2(t + 3)
[26 + -4t] = 2(t + 3)

Reorder the terms:
26 + -4t = 2(3 + t)
26 + -4t = (3 * 2 + t * 2)
26 + -4t = (6 + 2t)

Solving
26 + -4t = 6 + 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.
26 + -4t + -2t = 6 + 2t + -2t

Combine like terms: -4t + -2t = -6t
26 + -6t = 6 + 2t + -2t

Combine like terms: 2t + -2t = 0
26 + -6t = 6 + 0
26 + -6t = 6

Add '-26' to each side of the equation.
26 + -26 + -6t = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -6t = 6 + -26
-6t = 6 + -26

Combine like terms: 6 + -26 = -20
-6t = -20

Divide each side by '-6'.
t = 3.333333333

Simplifying
t = 3.333333333