3(t-3)-12=13-2(t+1)

Solution for 3(t-3)-12=13-2(t+1) equation:

Simplifying
3(t + -3) + -12 = 13 + -2(t + 1)

Reorder the terms:
3(-3 + t) + -12 = 13 + -2(t + 1)
(-3 * 3 + t * 3) + -12 = 13 + -2(t + 1)
(-9 + 3t) + -12 = 13 + -2(t + 1)

Reorder the terms:
-9 + -12 + 3t = 13 + -2(t + 1)

Combine like terms: -9 + -12 = -21
-21 + 3t = 13 + -2(t + 1)

Reorder the terms:
-21 + 3t = 13 + -2(1 + t)
-21 + 3t = 13 + (1 * -2 + t * -2)
-21 + 3t = 13 + (-2 + -2t)

Combine like terms: 13 + -2 = 11
-21 + 3t = 11 + -2t

Solving
-21 + 3t = 11 + -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.
-21 + 3t + 2t = 11 + -2t + 2t

Combine like terms: 3t + 2t = 5t
-21 + 5t = 11 + -2t + 2t

Combine like terms: -2t + 2t = 0
-21 + 5t = 11 + 0
-21 + 5t = 11

Add '21' to each side of the equation.
-21 + 21 + 5t = 11 + 21

Combine like terms: -21 + 21 = 0
0 + 5t = 11 + 21
5t = 11 + 21

Combine like terms: 11 + 21 = 32
5t = 32

Divide each side by '5'.
t = 6.4

Simplifying
t = 6.4