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

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

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

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

Combine like terms: 1 + 6 = 7
7 + -2t = 3t + -2(t + 3)

Reorder the terms:
7 + -2t = 3t + -2(3 + t)
7 + -2t = 3t + (3 * -2 + t * -2)
7 + -2t = 3t + (-6 + -2t)

Reorder the terms:
7 + -2t = -6 + 3t + -2t

Combine like terms: 3t + -2t = 1t
7 + -2t = -6 + 1t

Solving
7 + -2t = -6 + 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.
7 + -2t + -1t = -6 + 1t + -1t

Combine like terms: -2t + -1t = -3t
7 + -3t = -6 + 1t + -1t

Combine like terms: 1t + -1t = 0
7 + -3t = -6 + 0
7 + -3t = -6

Add '-7' to each side of the equation.
7 + -7 + -3t = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -3t = -6 + -7
-3t = -6 + -7

Combine like terms: -6 + -7 = -13
-3t = -13

Divide each side by '-3'.
t = 4.333333333

Simplifying
t = 4.333333333