t+3+2t=-2(t+6)

Solution for t+3+2t=-2(t+6) equation:

Simplifying
t + 3 + 2t = -2(t + 6)

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

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

Reorder the terms:
3 + 3t = -2(6 + t)
3 + 3t = (6 * -2 + t * -2)
3 + 3t = (-12 + -2t)

Solving
3 + 3t = -12 + -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 + 3t + 2t = -12 + -2t + 2t

Combine like terms: 3t + 2t = 5t
3 + 5t = -12 + -2t + 2t

Combine like terms: -2t + 2t = 0
3 + 5t = -12 + 0
3 + 5t = -12

Add '-3' to each side of the equation.
3 + -3 + 5t = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = -12 + -3
5t = -12 + -3

Combine like terms: -12 + -3 = -15
5t = -15

Divide each side by '5'.
t = -3

Simplifying
t = -3