3-(3t-6)=2t+(4-t)

Solution for 3-(3t-6)=2t+(4-t) equation:

Simplifying
3 + -1(3t + -6) = 2t + (4 + -1t)

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

Combine like terms: 3 + 6 = 9
9 + -3t = 2t + (4 + -1t)

Remove parenthesis around (4 + -1t)
9 + -3t = 2t + 4 + -1t

Reorder the terms:
9 + -3t = 4 + 2t + -1t

Combine like terms: 2t + -1t = 1t
9 + -3t = 4 + 1t

Solving
9 + -3t = 4 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
9 + -3t + -1t = 4 + 1t + -1t

Combine like terms: -3t + -1t = -4t
9 + -4t = 4 + 1t + -1t

Combine like terms: 1t + -1t = 0
9 + -4t = 4 + 0
9 + -4t = 4

Add '-9' to each side of the equation.
9 + -9 + -4t = 4 + -9

Combine like terms: 9 + -9 = 0
0 + -4t = 4 + -9
-4t = 4 + -9

Combine like terms: 4 + -9 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25