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

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

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

Reorder the terms:
2(1 + 3t) + -5 = 5(3x + -1) + 8
(1 * 2 + 3t * 2) + -5 = 5(3x + -1) + 8
(2 + 6t) + -5 = 5(3x + -1) + 8

Reorder the terms:
2 + -5 + 6t = 5(3x + -1) + 8

Combine like terms: 2 + -5 = -3
-3 + 6t = 5(3x + -1) + 8

Reorder the terms:
-3 + 6t = 5(-1 + 3x) + 8
-3 + 6t = (-1 * 5 + 3x * 5) + 8
-3 + 6t = (-5 + 15x) + 8

Reorder the terms:
-3 + 6t = -5 + 8 + 15x

Combine like terms: -5 + 8 = 3
-3 + 6t = 3 + 15x

Solving
-3 + 6t = 3 + 15x

Solving for variable 't'.

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

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

Combine like terms: -3 + 3 = 0
0 + 6t = 3 + 3 + 15x
6t = 3 + 3 + 15x

Combine like terms: 3 + 3 = 6
6t = 6 + 15x

Divide each side by '6'.
t = 1 + 2.5x

Simplifying
t = 1 + 2.5x