3(2t-1)=10-2(3t+2)

Solution for 3(2t-1)=10-2(3t+2) equation:

Simplifying
3(2t + -1) = 10 + -2(3t + 2)

Reorder the terms:
3(-1 + 2t) = 10 + -2(3t + 2)
(-1 * 3 + 2t * 3) = 10 + -2(3t + 2)
(-3 + 6t) = 10 + -2(3t + 2)

Reorder the terms:
-3 + 6t = 10 + -2(2 + 3t)
-3 + 6t = 10 + (2 * -2 + 3t * -2)
-3 + 6t = 10 + (-4 + -6t)

Combine like terms: 10 + -4 = 6
-3 + 6t = 6 + -6t

Solving
-3 + 6t = 6 + -6t

Solving for variable 't'.

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

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

Combine like terms: 6t + 6t = 12t
-3 + 12t = 6 + -6t + 6t

Combine like terms: -6t + 6t = 0
-3 + 12t = 6 + 0
-3 + 12t = 6

Add '3' to each side of the equation.
-3 + 3 + 12t = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 12t = 6 + 3
12t = 6 + 3

Combine like terms: 6 + 3 = 9
12t = 9

Divide each side by '12'.
t = 0.75

Simplifying
t = 0.75