2t+3(t+2)=4

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

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

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

Reorder the terms:
6 + 2t + 3t = 4

Combine like terms: 2t + 3t = 5t
6 + 5t = 4

Solving
6 + 5t = 4

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 + 5t = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 4 + -6
5t = 4 + -6

Combine like terms: 4 + -6 = -2
5t = -2

Divide each side by '5'.
t = -0.4

Simplifying
t = -0.4