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

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

Simplifying
3 + -1(2t + 2) = 2(t + 3) + t

Reorder the terms:
3 + -1(2 + 2t) = 2(t + 3) + t
3 + (2 * -1 + 2t * -1) = 2(t + 3) + t
3 + (-2 + -2t) = 2(t + 3) + t

Combine like terms: 3 + -2 = 1
1 + -2t = 2(t + 3) + t

Reorder the terms:
1 + -2t = 2(3 + t) + t
1 + -2t = (3 * 2 + t * 2) + t
1 + -2t = (6 + 2t) + t

Combine like terms: 2t + t = 3t
1 + -2t = 6 + 3t

Solving
1 + -2t = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
1 + -2t + -3t = 6 + 3t + -3t

Combine like terms: -2t + -3t = -5t
1 + -5t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
1 + -5t = 6 + 0
1 + -5t = 6

Add '-1' to each side of the equation.
1 + -1 + -5t = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -5t = 6 + -1
-5t = 6 + -1

Combine like terms: 6 + -1 = 5
-5t = 5

Divide each side by '-5'.
t = -1

Simplifying
t = -1