3(2t+1)-11=t-(t+7)

Solution for 3(2t+1)-11=t-(t+7) equation:

Simplifying
3(2t + 1) + -11 = t + -1(t + 7)

Reorder the terms:
3(1 + 2t) + -11 = t + -1(t + 7)
(1 * 3 + 2t * 3) + -11 = t + -1(t + 7)
(3 + 6t) + -11 = t + -1(t + 7)

Reorder the terms:
3 + -11 + 6t = t + -1(t + 7)

Combine like terms: 3 + -11 = -8
-8 + 6t = t + -1(t + 7)

Reorder the terms:
-8 + 6t = t + -1(7 + t)
-8 + 6t = t + (7 * -1 + t * -1)
-8 + 6t = t + (-7 + -1t)

Reorder the terms:
-8 + 6t = -7 + t + -1t

Combine like terms: t + -1t = 0
-8 + 6t = -7 + 0
-8 + 6t = -7

Solving
-8 + 6t = -7

Solving for variable 't'.

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

Add '8' to each side of the equation.
-8 + 8 + 6t = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 6t = -7 + 8
6t = -7 + 8

Combine like terms: -7 + 8 = 1
6t = 1

Divide each side by '6'.
t = 0.1666666667

Simplifying
t = 0.1666666667