5t-6=3(t-2)

Solution for 5t-6=3(t-2) equation:

Simplifying
5t + -6 = 3(t + -2)

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

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

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

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

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

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

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

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

Divide each side by '2'.
t = 0

Simplifying
t = 0