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

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


Simplifying
-3(t + -4) + 5t = 5(8 + -1t)

Reorder the terms:
-3(-4 + t) + 5t = 5(8 + -1t)
(-4 * -3 + t * -3) + 5t = 5(8 + -1t)
(12 + -3t) + 5t = 5(8 + -1t)

Combine like terms: -3t + 5t = 2t
12 + 2t = 5(8 + -1t)
12 + 2t = (8 * 5 + -1t * 5)
12 + 2t = (40 + -5t)

Solving
12 + 2t = 40 + -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.
12 + 2t + 5t = 40 + -5t + 5t

Combine like terms: 2t + 5t = 7t
12 + 7t = 40 + -5t + 5t

Combine like terms: -5t + 5t = 0
12 + 7t = 40 + 0
12 + 7t = 40

Add '-12' to each side of the equation.
12 + -12 + 7t = 40 + -12

Combine like terms: 12 + -12 = 0
0 + 7t = 40 + -12
7t = 40 + -12

Combine like terms: 40 + -12 = 28
7t = 28

Divide each side by '7'.
t = 4

Simplifying
t = 4

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