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

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

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

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

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

Combine like terms: 3t + -4t = -1t
4 + -1t = 3(t + -2)

Reorder the terms:
4 + -1t = 3(-2 + t)
4 + -1t = (-2 * 3 + t * 3)
4 + -1t = (-6 + 3t)

Solving
4 + -1t = -6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
4 + -1t + -3t = -6 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
4 + -4t = -6 + 0
4 + -4t = -6

Add '-4' to each side of the equation.
4 + -4 + -4t = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -4t = -6 + -4
-4t = -6 + -4

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

Divide each side by '-4'.
t = 2.5

Simplifying
t = 2.5