2(2t+1)-6=t-(t+3)

Solution for 2(2t+1)-6=t-(t+3) equation:

Simplifying
2(2t + 1) + -6 = t + -1(t + 3)

Reorder the terms:
2(1 + 2t) + -6 = t + -1(t + 3)
(1 * 2 + 2t * 2) + -6 = t + -1(t + 3)
(2 + 4t) + -6 = t + -1(t + 3)

Reorder the terms:
2 + -6 + 4t = t + -1(t + 3)

Combine like terms: 2 + -6 = -4
-4 + 4t = t + -1(t + 3)

Reorder the terms:
-4 + 4t = t + -1(3 + t)
-4 + 4t = t + (3 * -1 + t * -1)
-4 + 4t = t + (-3 + -1t)

Reorder the terms:
-4 + 4t = -3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 4t = -3 + 0
-4 + 4t = -3

Solving
-4 + 4t = -3

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 4t = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 4t = -3 + 4
4t = -3 + 4

Combine like terms: -3 + 4 = 1
4t = 1

Divide each side by '4'.
t = 0.25

Simplifying
t = 0.25