-2(t-3)+7t=3t-2

Solution for -2(t-3)+7t=3t-2 equation:

Simplifying
-2(t + -3) + 7t = 3t + -2

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

Combine like terms: -2t + 7t = 5t
6 + 5t = 3t + -2

Reorder the terms:
6 + 5t = -2 + 3t

Solving
6 + 5t = -2 + 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.
6 + 5t + -3t = -2 + 3t + -3t

Combine like terms: 5t + -3t = 2t
6 + 2t = -2 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + 2t = -2 + 0
6 + 2t = -2

Add '-6' to each side of the equation.
6 + -6 + 2t = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = -2 + -6
2t = -2 + -6

Combine like terms: -2 + -6 = -8
2t = -8

Divide each side by '2'.
t = -4

Simplifying
t = -4