t-(2t+5)-5(t-2t)=2(3+4t)-3(t-4)

Solution for t-(2t+5)-5(t-2t)=2(3+4t)-3(t-4) equation:

Simplifying
t + -1(2t + 5) + -5(t + -2t) = 2(3 + 4t) + -3(t + -4)

Reorder the terms:
t + -1(5 + 2t) + -5(t + -2t) = 2(3 + 4t) + -3(t + -4)
t + (5 * -1 + 2t * -1) + -5(t + -2t) = 2(3 + 4t) + -3(t + -4)
t + (-5 + -2t) + -5(t + -2t) = 2(3 + 4t) + -3(t + -4)

Combine like terms: t + -2t = -1t
t + -5 + -2t + -5(-1t) = 2(3 + 4t) + -3(t + -4)

Remove parenthesis around (-1t)
t + -5 + -2t + -5 * -1t = 2(3 + 4t) + -3(t + -4)

Multiply -5 * -1
t + -5 + -2t + 5t = 2(3 + 4t) + -3(t + -4)

Reorder the terms:
-5 + t + -2t + 5t = 2(3 + 4t) + -3(t + -4)

Combine like terms: t + -2t = -1t
-5 + -1t + 5t = 2(3 + 4t) + -3(t + -4)

Combine like terms: -1t + 5t = 4t
-5 + 4t = 2(3 + 4t) + -3(t + -4)
-5 + 4t = (3 * 2 + 4t * 2) + -3(t + -4)
-5 + 4t = (6 + 8t) + -3(t + -4)

Reorder the terms:
-5 + 4t = 6 + 8t + -3(-4 + t)
-5 + 4t = 6 + 8t + (-4 * -3 + t * -3)
-5 + 4t = 6 + 8t + (12 + -3t)

Reorder the terms:
-5 + 4t = 6 + 12 + 8t + -3t

Combine like terms: 6 + 12 = 18
-5 + 4t = 18 + 8t + -3t

Combine like terms: 8t + -3t = 5t
-5 + 4t = 18 + 5t

Solving
-5 + 4t = 18 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-5 + 4t + -5t = 18 + 5t + -5t

Combine like terms: 4t + -5t = -1t
-5 + -1t = 18 + 5t + -5t

Combine like terms: 5t + -5t = 0
-5 + -1t = 18 + 0
-5 + -1t = 18

Add '5' to each side of the equation.
-5 + 5 + -1t = 18 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = 18 + 5
-1t = 18 + 5

Combine like terms: 18 + 5 = 23
-1t = 23

Divide each side by '-1'.
t = -23

Simplifying
t = -23