2-6+2(3-t)=(t-3)5-3

Solution for 2-6+2(3-t)=(t-3)5-3 equation:

Simplifying
2 + -6 + 2(3 + -1t) = (t + -3) * 5 + -3
2 + -6 + (3 * 2 + -1t * 2) = (t + -3) * 5 + -3
2 + -6 + (6 + -2t) = (t + -3) * 5 + -3

Combine like terms: 2 + -6 = -4
-4 + 6 + -2t = (t + -3) * 5 + -3

Combine like terms: -4 + 6 = 2
2 + -2t = (t + -3) * 5 + -3

Reorder the terms:
2 + -2t = (-3 + t) * 5 + -3

Reorder the terms for easier multiplication:
2 + -2t = 5(-3 + t) + -3
2 + -2t = (-3 * 5 + t * 5) + -3
2 + -2t = (-15 + 5t) + -3

Reorder the terms:
2 + -2t = -15 + -3 + 5t

Combine like terms: -15 + -3 = -18
2 + -2t = -18 + 5t

Solving
2 + -2t = -18 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
2 + -2t + -5t = -18 + 5t + -5t

Combine like terms: -2t + -5t = -7t
2 + -7t = -18 + 5t + -5t

Combine like terms: 5t + -5t = 0
2 + -7t = -18 + 0
2 + -7t = -18

Add '-2' to each side of the equation.
2 + -2 + -7t = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -7t = -18 + -2
-7t = -18 + -2

Combine like terms: -18 + -2 = -20
-7t = -20

Divide each side by '-7'.
t = 2.857142857

Simplifying
t = 2.857142857