4(7t+1)-10=t-(t+5)

Solution for 4(7t+1)-10=t-(t+5) equation:

Simplifying
4(7t + 1) + -10 = t + -1(t + 5)

Reorder the terms:
4(1 + 7t) + -10 = t + -1(t + 5)
(1 * 4 + 7t * 4) + -10 = t + -1(t + 5)
(4 + 28t) + -10 = t + -1(t + 5)

Reorder the terms:
4 + -10 + 28t = t + -1(t + 5)

Combine like terms: 4 + -10 = -6
-6 + 28t = t + -1(t + 5)

Reorder the terms:
-6 + 28t = t + -1(5 + t)
-6 + 28t = t + (5 * -1 + t * -1)
-6 + 28t = t + (-5 + -1t)

Reorder the terms:
-6 + 28t = -5 + t + -1t

Combine like terms: t + -1t = 0
-6 + 28t = -5 + 0
-6 + 28t = -5

Solving
-6 + 28t = -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 + 28t = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 28t = -5 + 6
28t = -5 + 6

Combine like terms: -5 + 6 = 1
28t = 1

Divide each side by '28'.
t = 0.03571428571

Simplifying
t = 0.03571428571