-3(t-2)+5t=7t-7

Solution for -3(t-2)+5t=7t-7 equation:

Simplifying
-3(t + -2) + 5t = 7t + -7

Reorder the terms:
-3(-2 + t) + 5t = 7t + -7
(-2 * -3 + t * -3) + 5t = 7t + -7
(6 + -3t) + 5t = 7t + -7

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

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

Solving
6 + 2t = -7 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
6 + 2t + -7t = -7 + 7t + -7t

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

Combine like terms: 7t + -7t = 0
6 + -5t = -7 + 0
6 + -5t = -7

Add '-6' to each side of the equation.
6 + -6 + -5t = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = -7 + -6
-5t = -7 + -6

Combine like terms: -7 + -6 = -13
-5t = -13

Divide each side by '-5'.
t = 2.6

Simplifying
t = 2.6