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 = -3t
-15 + -3t = 30 + 5t + -5t

Combine like terms: 5t + -5t = 0
-15 + -3t = 30 + 0
-15 + -3t = 30

Add '15' to each side of the equation.
-15 + 15 + -3t = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -3t = 30 + 15
-3t = 30 + 15

Combine like terms: 30 + 15 = 45
-3t = 45

Divide each side by '-3'.
t = -15

Simplifying
t = -15