2(t+3)=t-4

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

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

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

Reorder the terms:
6 + 2t = -4 + t

Solving
6 + 2t = -4 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
6 + 2t + -1t = -4 + t + -1t

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

Combine like terms: t + -1t = 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 = -10
1t = -10

Divide each side by '1'.
t = -10

Simplifying
t = -10