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

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

Simplifying
5t + -3(2 + t) = -10
5t + (2 * -3 + t * -3) = -10
5t + (-6 + -3t) = -10

Reorder the terms:
-6 + 5t + -3t = -10

Combine like terms: 5t + -3t = 2t
-6 + 2t = -10

Solving
-6 + 2t = -10

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 2t = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 2t = -10 + 6
2t = -10 + 6

Combine like terms: -10 + 6 = -4
2t = -4

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

Simplifying
t = -2