-2(t-3)+7t=8t-5

Solution for -2(t-3)+7t=8t-5 equation:

Simplifying
-2(t + -3) + 7t = 8t + -5

Reorder the terms:
-2(-3 + t) + 7t = 8t + -5
(-3 * -2 + t * -2) + 7t = 8t + -5
(6 + -2t) + 7t = 8t + -5

Combine like terms: -2t + 7t = 5t
6 + 5t = 8t + -5

Reorder the terms:
6 + 5t = -5 + 8t

Solving
6 + 5t = -5 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + 5t + -8t = -5 + 8t + -8t

Combine like terms: 5t + -8t = -3t
6 + -3t = -5 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -3t = -5 + 0
6 + -3t = -5

Add '-6' to each side of the equation.
6 + -6 + -3t = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -3t = -5 + -6
-3t = -5 + -6

Combine like terms: -5 + -6 = -11
-3t = -11

Divide each side by '-3'.
t = 3.666666667

Simplifying
t = 3.666666667