3(t-2)=t+6

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

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

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

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

Solving
-6 + 3t = 6 + 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 + 3t + -1t = 6 + t + -1t

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

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

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

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

Combine like terms: 6 + 6 = 12
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6