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

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


Simplifying
5t + 4 = 3(2 + -1t) + 8

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

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

Combine like terms: 6 + 8 = 14
4 + 5t = 14 + -3t

Solving
4 + 5t = 14 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
4 + 5t + 3t = 14 + -3t + 3t

Combine like terms: 5t + 3t = 8t
4 + 8t = 14 + -3t + 3t

Combine like terms: -3t + 3t = 0
4 + 8t = 14 + 0
4 + 8t = 14

Add '-4' to each side of the equation.
4 + -4 + 8t = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 8t = 14 + -4
8t = 14 + -4

Combine like terms: 14 + -4 = 10
8t = 10

Divide each side by '8'.
t = 1.25

Simplifying
t = 1.25

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