7(6t+1)-13=t-(t+5)

Solution for 7(6t+1)-13=t-(t+5) equation:

Simplifying
7(6t + 1) + -13 = t + -1(t + 5)

Reorder the terms:
7(1 + 6t) + -13 = t + -1(t + 5)
(1 * 7 + 6t * 7) + -13 = t + -1(t + 5)
(7 + 42t) + -13 = t + -1(t + 5)

Reorder the terms:
7 + -13 + 42t = t + -1(t + 5)

Combine like terms: 7 + -13 = -6
-6 + 42t = t + -1(t + 5)

Reorder the terms:
-6 + 42t = t + -1(5 + t)
-6 + 42t = t + (5 * -1 + t * -1)
-6 + 42t = t + (-5 + -1t)

Reorder the terms:
-6 + 42t = -5 + t + -1t

Combine like terms: t + -1t = 0
-6 + 42t = -5 + 0
-6 + 42t = -5

Solving
-6 + 42t = -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 + 42t = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 42t = -5 + 6
42t = -5 + 6

Combine like terms: -5 + 6 = 1
42t = 1

Divide each side by '42'.
t = 0.02380952381

Simplifying
t = 0.02380952381