10(7t+1)-13=t-(t+2)

Solution for 10(7t+1)-13=t-(t+2) equation:

Simplifying
10(7t + 1) + -13 = t + -1(t + 2)

Reorder the terms:
10(1 + 7t) + -13 = t + -1(t + 2)
(1 * 10 + 7t * 10) + -13 = t + -1(t + 2)
(10 + 70t) + -13 = t + -1(t + 2)

Reorder the terms:
10 + -13 + 70t = t + -1(t + 2)

Combine like terms: 10 + -13 = -3
-3 + 70t = t + -1(t + 2)

Reorder the terms:
-3 + 70t = t + -1(2 + t)
-3 + 70t = t + (2 * -1 + t * -1)
-3 + 70t = t + (-2 + -1t)

Reorder the terms:
-3 + 70t = -2 + t + -1t

Combine like terms: t + -1t = 0
-3 + 70t = -2 + 0
-3 + 70t = -2

Solving
-3 + 70t = -2

Solving for variable 't'.

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

Add '3' to each side of the equation.
-3 + 3 + 70t = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 70t = -2 + 3
70t = -2 + 3

Combine like terms: -2 + 3 = 1
70t = 1

Divide each side by '70'.
t = 0.01428571429

Simplifying
t = 0.01428571429