-3(t+1)=4(3-2t)

Solution for -3(t+1)=4(3-2t) equation:

Simplifying
-3(t + 1) = 4(3 + -2t)

Reorder the terms:
-3(1 + t) = 4(3 + -2t)
(1 * -3 + t * -3) = 4(3 + -2t)
(-3 + -3t) = 4(3 + -2t)
-3 + -3t = (3 * 4 + -2t * 4)
-3 + -3t = (12 + -8t)

Solving
-3 + -3t = 12 + -8t

Solving for variable 't'.

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

Add '8t' to each side of the equation.
-3 + -3t + 8t = 12 + -8t + 8t

Combine like terms: -3t + 8t = 5t
-3 + 5t = 12 + -8t + 8t

Combine like terms: -8t + 8t = 0
-3 + 5t = 12 + 0
-3 + 5t = 12

Add '3' to each side of the equation.
-3 + 3 + 5t = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 5t = 12 + 3
5t = 12 + 3

Combine like terms: 12 + 3 = 15
5t = 15

Divide each side by '5'.
t = 3

Simplifying
t = 3