-3(t-4)-18=-2(t+2)

Solution for -3(t-4)-18=-2(t+2) equation:

Simplifying
-3(t + -4) + -18 = -2(t + 2)

Reorder the terms:
-3(-4 + t) + -18 = -2(t + 2)
(-4 * -3 + t * -3) + -18 = -2(t + 2)
(12 + -3t) + -18 = -2(t + 2)

Reorder the terms:
12 + -18 + -3t = -2(t + 2)

Combine like terms: 12 + -18 = -6
-6 + -3t = -2(t + 2)

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

Solving
-6 + -3t = -4 + -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.
-6 + -3t + 2t = -4 + -2t + 2t

Combine like terms: -3t + 2t = -1t
-6 + -1t = -4 + -2t + 2t

Combine like terms: -2t + 2t = 0
-6 + -1t = -4 + 0
-6 + -1t = -4

Add '6' to each side of the equation.
-6 + 6 + -1t = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = -4 + 6
-1t = -4 + 6

Combine like terms: -4 + 6 = 2
-1t = 2

Divide each side by '-1'.
t = -2

Simplifying
t = -2