-3(t-5)=2(3t+1)-8

Solution for -3(t-5)=2(3t+1)-8 equation:

Simplifying
-3(t + -5) = 2(3t + 1) + -8

Reorder the terms:
-3(-5 + t) = 2(3t + 1) + -8
(-5 * -3 + t * -3) = 2(3t + 1) + -8
(15 + -3t) = 2(3t + 1) + -8

Reorder the terms:
15 + -3t = 2(1 + 3t) + -8
15 + -3t = (1 * 2 + 3t * 2) + -8
15 + -3t = (2 + 6t) + -8

Reorder the terms:
15 + -3t = 2 + -8 + 6t

Combine like terms: 2 + -8 = -6
15 + -3t = -6 + 6t

Solving
15 + -3t = -6 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + -3t + -6t = -6 + 6t + -6t

Combine like terms: -3t + -6t = -9t
15 + -9t = -6 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -9t = -6 + 0
15 + -9t = -6

Add '-15' to each side of the equation.
15 + -15 + -9t = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -9t = -6 + -15
-9t = -6 + -15

Combine like terms: -6 + -15 = -21
-9t = -21

Divide each side by '-9'.
t = 2.333333333

Simplifying
t = 2.333333333