6(2t+1)-1=t-(t+4)

Solution for 6(2t+1)-1=t-(t+4) equation:

Simplifying
6(2t + 1) + -1 = t + -1(t + 4)

Reorder the terms:
6(1 + 2t) + -1 = t + -1(t + 4)
(1 * 6 + 2t * 6) + -1 = t + -1(t + 4)
(6 + 12t) + -1 = t + -1(t + 4)

Reorder the terms:
6 + -1 + 12t = t + -1(t + 4)

Combine like terms: 6 + -1 = 5
5 + 12t = t + -1(t + 4)

Reorder the terms:
5 + 12t = t + -1(4 + t)
5 + 12t = t + (4 * -1 + t * -1)
5 + 12t = t + (-4 + -1t)

Reorder the terms:
5 + 12t = -4 + t + -1t

Combine like terms: t + -1t = 0
5 + 12t = -4 + 0
5 + 12t = -4

Solving
5 + 12t = -4

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + 12t = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 12t = -4 + -5
12t = -4 + -5

Combine like terms: -4 + -5 = -9
12t = -9

Divide each side by '12'.
t = -0.75

Simplifying
t = -0.75