-2-4(t-5)=-2(t+3)

Solution for -2-4(t-5)=-2(t+3) equation:

Simplifying
-2 + -4(t + -5) = -2(t + 3)

Reorder the terms:
-2 + -4(-5 + t) = -2(t + 3)
-2 + (-5 * -4 + t * -4) = -2(t + 3)
-2 + (20 + -4t) = -2(t + 3)

Combine like terms: -2 + 20 = 18
18 + -4t = -2(t + 3)

Reorder the terms:
18 + -4t = -2(3 + t)
18 + -4t = (3 * -2 + t * -2)
18 + -4t = (-6 + -2t)

Solving
18 + -4t = -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.
18 + -4t + 2t = -6 + -2t + 2t

Combine like terms: -4t + 2t = -2t
18 + -2t = -6 + -2t + 2t

Combine like terms: -2t + 2t = 0
18 + -2t = -6 + 0
18 + -2t = -6

Add '-18' to each side of the equation.
18 + -18 + -2t = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -2t = -6 + -18
-2t = -6 + -18

Combine like terms: -6 + -18 = -24
-2t = -24

Divide each side by '-2'.
t = 12

Simplifying
t = 12