10(5t+1)-12=t-(t+1)

Solution for 10(5t+1)-12=t-(t+1) equation:

Simplifying
10(5t + 1) + -12 = t + -1(t + 1)

Reorder the terms:
10(1 + 5t) + -12 = t + -1(t + 1)
(1 * 10 + 5t * 10) + -12 = t + -1(t + 1)
(10 + 50t) + -12 = t + -1(t + 1)

Reorder the terms:
10 + -12 + 50t = t + -1(t + 1)

Combine like terms: 10 + -12 = -2
-2 + 50t = t + -1(t + 1)

Reorder the terms:
-2 + 50t = t + -1(1 + t)
-2 + 50t = t + (1 * -1 + t * -1)
-2 + 50t = t + (-1 + -1t)

Reorder the terms:
-2 + 50t = -1 + t + -1t

Combine like terms: t + -1t = 0
-2 + 50t = -1 + 0
-2 + 50t = -1

Solving
-2 + 50t = -1

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + 50t = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 50t = -1 + 2
50t = -1 + 2

Combine like terms: -1 + 2 = 1
50t = 1

Divide each side by '50'.
t = 0.02

Simplifying
t = 0.02