6(4t+1)-12=t-(t+5)

Solution for 6(4t+1)-12=t-(t+5) equation:

Simplifying
6(4t + 1) + -12 = t + -1(t + 5)

Reorder the terms:
6(1 + 4t) + -12 = t + -1(t + 5)
(1 * 6 + 4t * 6) + -12 = t + -1(t + 5)
(6 + 24t) + -12 = t + -1(t + 5)

Reorder the terms:
6 + -12 + 24t = t + -1(t + 5)

Combine like terms: 6 + -12 = -6
-6 + 24t = t + -1(t + 5)

Reorder the terms:
-6 + 24t = t + -1(5 + t)
-6 + 24t = t + (5 * -1 + t * -1)
-6 + 24t = t + (-5 + -1t)

Reorder the terms:
-6 + 24t = -5 + t + -1t

Combine like terms: t + -1t = 0
-6 + 24t = -5 + 0
-6 + 24t = -5

Solving
-6 + 24t = -5

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 24t = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 24t = -5 + 6
24t = -5 + 6

Combine like terms: -5 + 6 = 1
24t = 1

Divide each side by '24'.
t = 0.04166666667

Simplifying
t = 0.04166666667