2(2t-1)-3(t+1)=0

Solution for 2(2t-1)-3(t+1)=0 equation:

Simplifying
2(2t + -1) + -3(t + 1) = 0

Reorder the terms:
2(-1 + 2t) + -3(t + 1) = 0
(-1 * 2 + 2t * 2) + -3(t + 1) = 0
(-2 + 4t) + -3(t + 1) = 0

Reorder the terms:
-2 + 4t + -3(1 + t) = 0
-2 + 4t + (1 * -3 + t * -3) = 0
-2 + 4t + (-3 + -3t) = 0

Reorder the terms:
-2 + -3 + 4t + -3t = 0

Combine like terms: -2 + -3 = -5
-5 + 4t + -3t = 0

Combine like terms: 4t + -3t = 1t
-5 + 1t = 0

Solving
-5 + 1t = 0

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 1t = 0 + 5

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

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

Divide each side by '1'.
t = 5

Simplifying
t = 5