2t-3(t-2)=t+6

Solution for 2t-3(t-2)=t+6 equation:

Simplifying
2t + -3(t + -2) = t + 6

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

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

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

Reorder the terms:
6 + -1t = 6 + t

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

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

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

Solving
-1t = 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.
-1t + -1t = t + -1t

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

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

Divide each side by '-2'.
t = 0

Simplifying
t = 0