2(t+3)=8-3(t-4)

Solution for 2(t+3)=8-3(t-4) equation:

Simplifying
2(t + 3) = 8 + -3(t + -4)

Reorder the terms:
2(3 + t) = 8 + -3(t + -4)
(3 * 2 + t * 2) = 8 + -3(t + -4)
(6 + 2t) = 8 + -3(t + -4)

Reorder the terms:
6 + 2t = 8 + -3(-4 + t)
6 + 2t = 8 + (-4 * -3 + t * -3)
6 + 2t = 8 + (12 + -3t)

Combine like terms: 8 + 12 = 20
6 + 2t = 20 + -3t

Solving
6 + 2t = 20 + -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.
6 + 2t + 3t = 20 + -3t + 3t

Combine like terms: 2t + 3t = 5t
6 + 5t = 20 + -3t + 3t

Combine like terms: -3t + 3t = 0
6 + 5t = 20 + 0
6 + 5t = 20

Add '-6' to each side of the equation.
6 + -6 + 5t = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 20 + -6
5t = 20 + -6

Combine like terms: 20 + -6 = 14
5t = 14

Divide each side by '5'.
t = 2.8

Simplifying
t = 2.8