-8(t-3)+6(2t-3)=3(t-5)+2

Solution for -8(t-3)+6(2t-3)=3(t-5)+2 equation:

Simplifying
-8(t + -3) + 6(2t + -3) = 3(t + -5) + 2

Reorder the terms:
-8(-3 + t) + 6(2t + -3) = 3(t + -5) + 2
(-3 * -8 + t * -8) + 6(2t + -3) = 3(t + -5) + 2
(24 + -8t) + 6(2t + -3) = 3(t + -5) + 2

Reorder the terms:
24 + -8t + 6(-3 + 2t) = 3(t + -5) + 2
24 + -8t + (-3 * 6 + 2t * 6) = 3(t + -5) + 2
24 + -8t + (-18 + 12t) = 3(t + -5) + 2

Reorder the terms:
24 + -18 + -8t + 12t = 3(t + -5) + 2

Combine like terms: 24 + -18 = 6
6 + -8t + 12t = 3(t + -5) + 2

Combine like terms: -8t + 12t = 4t
6 + 4t = 3(t + -5) + 2

Reorder the terms:
6 + 4t = 3(-5 + t) + 2
6 + 4t = (-5 * 3 + t * 3) + 2
6 + 4t = (-15 + 3t) + 2

Reorder the terms:
6 + 4t = -15 + 2 + 3t

Combine like terms: -15 + 2 = -13
6 + 4t = -13 + 3t

Solving
6 + 4t = -13 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
6 + 4t + -3t = -13 + 3t + -3t

Combine like terms: 4t + -3t = 1t
6 + 1t = -13 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + 1t = -13 + 0
6 + 1t = -13

Add '-6' to each side of the equation.
6 + -6 + 1t = -13 + -6

Combine like terms: 6 + -6 = 0
0 + 1t = -13 + -6
1t = -13 + -6

Combine like terms: -13 + -6 = -19
1t = -19

Divide each side by '1'.
t = -19

Simplifying
t = -19