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

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Solution for t-(2t+5)-5(1-2t)=2(3+4t)-3(t-4) equation: 


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

Reorder the terms:
t + -1(5 + 2t) + -5(1 + -2t) = 2(3 + 4t) + -3(t + -4)
t + (5 * -1 + 2t * -1) + -5(1 + -2t) = 2(3 + 4t) + -3(t + -4)
t + (-5 + -2t) + -5(1 + -2t) = 2(3 + 4t) + -3(t + -4)
t + -5 + -2t + (1 * -5 + -2t * -5) = 2(3 + 4t) + -3(t + -4)
t + -5 + -2t + (-5 + 10t) = 2(3 + 4t) + -3(t + -4)

Reorder the terms:
-5 + -5 + t + -2t + 10t = 2(3 + 4t) + -3(t + -4)

Combine like terms: -5 + -5 = -10
-10 + t + -2t + 10t = 2(3 + 4t) + -3(t + -4)

Combine like terms: t + -2t = -1t
-10 + -1t + 10t = 2(3 + 4t) + -3(t + -4)

Combine like terms: -1t + 10t = 9t
-10 + 9t = 2(3 + 4t) + -3(t + -4)
-10 + 9t = (3 * 2 + 4t * 2) + -3(t + -4)
-10 + 9t = (6 + 8t) + -3(t + -4)

Reorder the terms:
-10 + 9t = 6 + 8t + -3(-4 + t)
-10 + 9t = 6 + 8t + (-4 * -3 + t * -3)
-10 + 9t = 6 + 8t + (12 + -3t)

Reorder the terms:
-10 + 9t = 6 + 12 + 8t + -3t

Combine like terms: 6 + 12 = 18
-10 + 9t = 18 + 8t + -3t

Combine like terms: 8t + -3t = 5t
-10 + 9t = 18 + 5t

Solving
-10 + 9t = 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.
-10 + 9t + -5t = 18 + 5t + -5t

Combine like terms: 9t + -5t = 4t
-10 + 4t = 18 + 5t + -5t

Combine like terms: 5t + -5t = 0
-10 + 4t = 18 + 0
-10 + 4t = 18

Add '10' to each side of the equation.
-10 + 10 + 4t = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 4t = 18 + 10
4t = 18 + 10

Combine like terms: 18 + 10 = 28
4t = 28

Divide each side by '4'.
t = 7

Simplifying
t = 7

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