5t+6=2t-3

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

Simplifying
5t + 6 = 2t + -3

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

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

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

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

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

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

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

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

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

Simplifying
t = -3