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

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

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

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

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

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

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

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

Solving
-4 + -2t = 4 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-4 + -2t + -2t = 4 + 2t + -2t

Combine like terms: -2t + -2t = -4t
-4 + -4t = 4 + 2t + -2t

Combine like terms: 2t + -2t = 0
-4 + -4t = 4 + 0
-4 + -4t = 4

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

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

Combine like terms: 4 + 4 = 8
-4t = 8

Divide each side by '-4'.
t = -2

Simplifying
t = -2