3(t-2)=6t+1

Solution for 3(t-2)=6t+1 equation:

Simplifying
3(t + -2) = 6t + 1

Reorder the terms:
3(-2 + t) = 6t + 1
(-2 * 3 + t * 3) = 6t + 1
(-6 + 3t) = 6t + 1

Reorder the terms:
-6 + 3t = 1 + 6t

Solving
-6 + 3t = 1 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-6 + 3t + -6t = 1 + 6t + -6t

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

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

Add '6' to each side of the equation.
-6 + 6 + -3t = 1 + 6

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

Combine like terms: 1 + 6 = 7
-3t = 7

Divide each side by '-3'.
t = -2.333333333

Simplifying
t = -2.333333333