3t-5(t+2)=3(2-4t)+8

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Solution for 3t-5(t+2)=3(2-4t)+8 equation: 


Simplifying
3t + -5(t + 2) = 3(2 + -4t) + 8

Reorder the terms:
3t + -5(2 + t) = 3(2 + -4t) + 8
3t + (2 * -5 + t * -5) = 3(2 + -4t) + 8
3t + (-10 + -5t) = 3(2 + -4t) + 8

Reorder the terms:
-10 + 3t + -5t = 3(2 + -4t) + 8

Combine like terms: 3t + -5t = -2t
-10 + -2t = 3(2 + -4t) + 8
-10 + -2t = (2 * 3 + -4t * 3) + 8
-10 + -2t = (6 + -12t) + 8

Reorder the terms:
-10 + -2t = 6 + 8 + -12t

Combine like terms: 6 + 8 = 14
-10 + -2t = 14 + -12t

Solving
-10 + -2t = 14 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
-10 + -2t + 12t = 14 + -12t + 12t

Combine like terms: -2t + 12t = 10t
-10 + 10t = 14 + -12t + 12t

Combine like terms: -12t + 12t = 0
-10 + 10t = 14 + 0
-10 + 10t = 14

Add '10' to each side of the equation.
-10 + 10 + 10t = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 10t = 14 + 10
10t = 14 + 10

Combine like terms: 14 + 10 = 24
10t = 24

Divide each side by '10'.
t = 2.4

Simplifying
t = 2.4

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