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

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

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

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

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

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

Reorder the terms:
6 + -1t = 2 + 5t

Solving
6 + -1t = 2 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
6 + -1t + -5t = 2 + 5t + -5t

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

Combine like terms: 5t + -5t = 0
6 + -6t = 2 + 0
6 + -6t = 2

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

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

Combine like terms: 2 + -6 = -4
-6t = -4

Divide each side by '-6'.
t = 0.6666666667

Simplifying
t = 0.6666666667