2t-3(2-5t-4)=7-6t-8

Solution for 2t-3(2-5t-4)=7-6t-8 equation:

Simplifying
2t + -3(2 + -5t + -4) = 7 + -6t + -8

Reorder the terms:
2t + -3(2 + -4 + -5t) = 7 + -6t + -8

Combine like terms: 2 + -4 = -2
2t + -3(-2 + -5t) = 7 + -6t + -8
2t + (-2 * -3 + -5t * -3) = 7 + -6t + -8
2t + (6 + 15t) = 7 + -6t + -8

Reorder the terms:
6 + 2t + 15t = 7 + -6t + -8

Combine like terms: 2t + 15t = 17t
6 + 17t = 7 + -6t + -8

Reorder the terms:
6 + 17t = 7 + -8 + -6t

Combine like terms: 7 + -8 = -1
6 + 17t = -1 + -6t

Solving
6 + 17t = -1 + -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.
6 + 17t + 6t = -1 + -6t + 6t

Combine like terms: 17t + 6t = 23t
6 + 23t = -1 + -6t + 6t

Combine like terms: -6t + 6t = 0
6 + 23t = -1 + 0
6 + 23t = -1

Add '-6' to each side of the equation.
6 + -6 + 23t = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 23t = -1 + -6
23t = -1 + -6

Combine like terms: -1 + -6 = -7
23t = -7

Divide each side by '23'.
t = -0.3043478261

Simplifying
t = -0.3043478261