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

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

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

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

Combine like terms: -3t + 7t = 4t
6 + 4t = 8t + -5

Reorder the terms:
6 + 4t = -5 + 8t

Solving
6 + 4t = -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 + 4t + -8t = -5 + 8t + -8t

Combine like terms: 4t + -8t = -4t
6 + -4t = -5 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -4t = -5 + 0
6 + -4t = -5

Add '-6' to each side of the equation.
6 + -6 + -4t = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -4t = -5 + -6
-4t = -5 + -6

Combine like terms: -5 + -6 = -11
-4t = -11

Divide each side by '-4'.
t = 2.75

Simplifying
t = 2.75