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

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

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

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

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

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

Reorder the terms:
-1 + 5t = 3 + 3 + 3t

Combine like terms: 3 + 3 = 6
-1 + 5t = 6 + 3t

Solving
-1 + 5t = 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.
-1 + 5t + -3t = 6 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-1 + 2t = 6 + 3t + -3t

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

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

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

Combine like terms: 6 + 1 = 7
2t = 7

Divide each side by '2'.
t = 3.5

Simplifying
t = 3.5