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

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

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

Reorder the terms:
3(-1 + 2t) + -2(t + -2) = 5
(-1 * 3 + 2t * 3) + -2(t + -2) = 5
(-3 + 6t) + -2(t + -2) = 5

Reorder the terms:
-3 + 6t + -2(-2 + t) = 5
-3 + 6t + (-2 * -2 + t * -2) = 5
-3 + 6t + (4 + -2t) = 5

Reorder the terms:
-3 + 4 + 6t + -2t = 5

Combine like terms: -3 + 4 = 1
1 + 6t + -2t = 5

Combine like terms: 6t + -2t = 4t
1 + 4t = 5

Solving
1 + 4t = 5

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + 4t = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 4t = 5 + -1
4t = 5 + -1

Combine like terms: 5 + -1 = 4
4t = 4

Divide each side by '4'.
t = 1

Simplifying
t = 1