-3(t-2)+20=2(t+3)

Solution for -3(t-2)+20=2(t+3) equation:

Simplifying
-3(t + -2) + 20 = 2(t + 3)

Reorder the terms:
-3(-2 + t) + 20 = 2(t + 3)
(-2 * -3 + t * -3) + 20 = 2(t + 3)
(6 + -3t) + 20 = 2(t + 3)

Reorder the terms:
6 + 20 + -3t = 2(t + 3)

Combine like terms: 6 + 20 = 26
26 + -3t = 2(t + 3)

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

Solving
26 + -3t = 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 + -3t + -2t = 6 + 2t + -2t

Combine like terms: -3t + -2t = -5t
26 + -5t = 6 + 2t + -2t

Combine like terms: 2t + -2t = 0
26 + -5t = 6 + 0
26 + -5t = 6

Add '-26' to each side of the equation.
26 + -26 + -5t = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -5t = 6 + -26
-5t = 6 + -26

Combine like terms: 6 + -26 = -20
-5t = -20

Divide each side by '-5'.
t = 4

Simplifying
t = 4