5t-3=2t+6

Solution for 5t-3=2t+6 equation:

Simplifying
5t + -3 = 2t + 6

Reorder the terms:
-3 + 5t = 2t + 6

Reorder the terms:
-3 + 5t = 6 + 2t

Solving
-3 + 5t = 6 + 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 = 6 + 2t + -2t

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

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

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

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

Combine like terms: 6 + 3 = 9
3t = 9

Divide each side by '3'.
t = 3

Simplifying
t = 3