3(2t+1)=-2(10-5t)-8t

Solution for 3(2t+1)=-2(10-5t)-8t equation:

Simplifying
3(2t + 1) = -2(10 + -5t) + -8t

Reorder the terms:
3(1 + 2t) = -2(10 + -5t) + -8t
(1 * 3 + 2t * 3) = -2(10 + -5t) + -8t
(3 + 6t) = -2(10 + -5t) + -8t
3 + 6t = (10 * -2 + -5t * -2) + -8t
3 + 6t = (-20 + 10t) + -8t

Combine like terms: 10t + -8t = 2t
3 + 6t = -20 + 2t

Solving
3 + 6t = -20 + 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.
3 + 6t + -2t = -20 + 2t + -2t

Combine like terms: 6t + -2t = 4t
3 + 4t = -20 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 4t = -20 + 0
3 + 4t = -20

Add '-3' to each side of the equation.
3 + -3 + 4t = -20 + -3

Combine like terms: 3 + -3 = 0
0 + 4t = -20 + -3
4t = -20 + -3

Combine like terms: -20 + -3 = -23
4t = -23

Divide each side by '4'.
t = -5.75

Simplifying
t = -5.75