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

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

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

Reorder the terms:
-2(-3 + 5t) + 3t = 2t + -8
(-3 * -2 + 5t * -2) + 3t = 2t + -8
(6 + -10t) + 3t = 2t + -8

Combine like terms: -10t + 3t = -7t
6 + -7t = 2t + -8

Reorder the terms:
6 + -7t = -8 + 2t

Solving
6 + -7t = -8 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
6 + -7t + -2t = -8 + 2t + -2t

Combine like terms: -7t + -2t = -9t
6 + -9t = -8 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + -9t = -8 + 0
6 + -9t = -8

Add '-6' to each side of the equation.
6 + -6 + -9t = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -9t = -8 + -6
-9t = -8 + -6

Combine like terms: -8 + -6 = -14
-9t = -14

Divide each side by '-9'.
t = 1.555555556

Simplifying
t = 1.555555556