-3(t-1)+5t=8t-3

Solution for -3(t-1)+5t=8t-3 equation:

Simplifying
-3(t + -1) + 5t = 8t + -3

Reorder the terms:
-3(-1 + t) + 5t = 8t + -3
(-1 * -3 + t * -3) + 5t = 8t + -3
(3 + -3t) + 5t = 8t + -3

Combine like terms: -3t + 5t = 2t
3 + 2t = 8t + -3

Reorder the terms:
3 + 2t = -3 + 8t

Solving
3 + 2t = -3 + 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.
3 + 2t + -8t = -3 + 8t + -8t

Combine like terms: 2t + -8t = -6t
3 + -6t = -3 + 8t + -8t

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

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

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

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

Divide each side by '-6'.
t = 1

Simplifying
t = 1