2(t-3)=4-3t

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

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

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

Solving
-6 + 2t = 4 + -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.
-6 + 2t + 3t = 4 + -3t + 3t

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

Combine like terms: -3t + 3t = 0
-6 + 5t = 4 + 0
-6 + 5t = 4

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