5t-3=2(t+1)+3

Solution for 5t-3=2(t+1)+3 equation:

Simplifying
5t + -3 = 2(t + 1) + 3

Reorder the terms:
-3 + 5t = 2(t + 1) + 3

Reorder the terms:
-3 + 5t = 2(1 + t) + 3
-3 + 5t = (1 * 2 + t * 2) + 3
-3 + 5t = (2 + 2t) + 3

Reorder the terms:
-3 + 5t = 2 + 3 + 2t

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

Solving
-3 + 5t = 5 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-3 + 5t + -2t = 5 + 2t + -2t

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

Combine like terms: 2t + -2t = 0
-3 + 3t = 5 + 0
-3 + 3t = 5

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

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

Combine like terms: 5 + 3 = 8
3t = 8

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667