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

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

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

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

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

Remove parenthesis around (2 + t)
-6 + 4t = 2 + t

Solving
-6 + 4t = 2 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-6 + 4t + -1t = 2 + t + -1t

Combine like terms: 4t + -1t = 3t
-6 + 3t = 2 + t + -1t

Combine like terms: t + -1t = 0
-6 + 3t = 2 + 0
-6 + 3t = 2

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

Combine like terms: -6 + 6 = 0
0 + 3t = 2 + 6
3t = 2 + 6

Combine like terms: 2 + 6 = 8
3t = 8

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667