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

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

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

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

Combine like terms: 2t + t = 3t
4 + 3t = 2(3 + 2t)
4 + 3t = (3 * 2 + 2t * 2)
4 + 3t = (6 + 4t)

Solving
4 + 3t = 6 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
4 + 3t + -4t = 6 + 4t + -4t

Combine like terms: 3t + -4t = -1t
4 + -1t = 6 + 4t + -4t

Combine like terms: 4t + -4t = 0
4 + -1t = 6 + 0
4 + -1t = 6

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

Combine like terms: 4 + -4 = 0
0 + -1t = 6 + -4
-1t = 6 + -4

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

Divide each side by '-1'.
t = -2

Simplifying
t = -2