2(t-7)-1=-5(6+t)

Solution for 2(t-7)-1=-5(6+t) equation:

Simplifying
2(t + -7) + -1 = -5(6 + t)

Reorder the terms:
2(-7 + t) + -1 = -5(6 + t)
(-7 * 2 + t * 2) + -1 = -5(6 + t)
(-14 + 2t) + -1 = -5(6 + t)

Reorder the terms:
-14 + -1 + 2t = -5(6 + t)

Combine like terms: -14 + -1 = -15
-15 + 2t = -5(6 + t)
-15 + 2t = (6 * -5 + t * -5)
-15 + 2t = (-30 + -5t)

Solving
-15 + 2t = -30 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
-15 + 2t + 5t = -30 + -5t + 5t

Combine like terms: 2t + 5t = 7t
-15 + 7t = -30 + -5t + 5t

Combine like terms: -5t + 5t = 0
-15 + 7t = -30 + 0
-15 + 7t = -30

Add '15' to each side of the equation.
-15 + 15 + 7t = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 7t = -30 + 15
7t = -30 + 15

Combine like terms: -30 + 15 = -15
7t = -15

Divide each side by '7'.
t = -2.142857143

Simplifying
t = -2.142857143