5(2t-4)=11-(3+2t)

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Solution for 5(2t-4)=11-(3+2t) equation:


Simplifying
5(2t + -4) = 11 + -1(3 + 2t)

Reorder the terms:
5(-4 + 2t) = 11 + -1(3 + 2t)
(-4 * 5 + 2t * 5) = 11 + -1(3 + 2t)
(-20 + 10t) = 11 + -1(3 + 2t)
-20 + 10t = 11 + (3 * -1 + 2t * -1)
-20 + 10t = 11 + (-3 + -2t)

Combine like terms: 11 + -3 = 8
-20 + 10t = 8 + -2t

Solving
-20 + 10t = 8 + -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.
-20 + 10t + 2t = 8 + -2t + 2t

Combine like terms: 10t + 2t = 12t
-20 + 12t = 8 + -2t + 2t

Combine like terms: -2t + 2t = 0
-20 + 12t = 8 + 0
-20 + 12t = 8

Add '20' to each side of the equation.
-20 + 20 + 12t = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 12t = 8 + 20
12t = 8 + 20

Combine like terms: 8 + 20 = 28
12t = 28

Divide each side by '12'.
t = 2.333333333

Simplifying
t = 2.333333333

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