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 = -13T
6 + -13T = 7 + -6T + -8

Reorder the terms:
6 + -13T = 7 + -8 + -6T

Combine like terms: 7 + -8 = -1
6 + -13T = -1 + -6T

Solving
6 + -13T = -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 + -13T + 6T = -1 + -6T + 6T

Combine like terms: -13T + 6T = -7T
6 + -7T = -1 + -6T + 6T

Combine like terms: -6T + 6T = 0
6 + -7T = -1 + 0
6 + -7T = -1

Add '-6' to each side of the equation.
6 + -6 + -7T = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7T = -1 + -6
-7T = -1 + -6

Combine like terms: -1 + -6 = -7
-7T = -7

Divide each side by '-7'.
T = 1

Simplifying
T = 1