(6t-5)=3(t+1)+3

Solution for (6t-5)=3(t+1)+3 equation:

Simplifying
(6t + -5) = 3(t + 1) + 3

Reorder the terms:
(-5 + 6t) = 3(t + 1) + 3

Remove parenthesis around (-5 + 6t)
-5 + 6t = 3(t + 1) + 3

Reorder the terms:
-5 + 6t = 3(1 + t) + 3
-5 + 6t = (1 * 3 + t * 3) + 3
-5 + 6t = (3 + 3t) + 3

Reorder the terms:
-5 + 6t = 3 + 3 + 3t

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

Solving
-5 + 6t = 6 + 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.
-5 + 6t + -3t = 6 + 3t + -3t

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

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

Add '5' to each side of the equation.
-5 + 5 + 3t = 6 + 5

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

Combine like terms: 6 + 5 = 11
3t = 11

Divide each side by '3'.
t = 3.666666667

Simplifying
t = 3.666666667