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 = 10
5t = 10

Divide each side by '5'.
t = 2

Simplifying
t = 2