-2(t-5)-16=-3(t+3)

Solution for -2(t-5)-16=-3(t+3) equation:

Simplifying
-2(t + -5) + -16 = -3(t + 3)

Reorder the terms:
-2(-5 + t) + -16 = -3(t + 3)
(-5 * -2 + t * -2) + -16 = -3(t + 3)
(10 + -2t) + -16 = -3(t + 3)

Reorder the terms:
10 + -16 + -2t = -3(t + 3)

Combine like terms: 10 + -16 = -6
-6 + -2t = -3(t + 3)

Reorder the terms:
-6 + -2t = -3(3 + t)
-6 + -2t = (3 * -3 + t * -3)
-6 + -2t = (-9 + -3t)

Solving
-6 + -2t = -9 + -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 = -9 + -3t + 3t

Combine like terms: -2t + 3t = 1t
-6 + 1t = -9 + -3t + 3t

Combine like terms: -3t + 3t = 0
-6 + 1t = -9 + 0
-6 + 1t = -9

Add '6' to each side of the equation.
-6 + 6 + 1t = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 1t = -9 + 6
1t = -9 + 6

Combine like terms: -9 + 6 = -3
1t = -3

Divide each side by '1'.
t = -3

Simplifying
t = -3