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

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


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

Reorder the terms:
3(8 + 2t) = 4(2 + t)
(8 * 3 + 2t * 3) = 4(2 + t)
(24 + 6t) = 4(2 + t)
24 + 6t = (2 * 4 + t * 4)
24 + 6t = (8 + 4t)

Solving
24 + 6t = 8 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
24 + 6t + -4t = 8 + 4t + -4t

Combine like terms: 6t + -4t = 2t
24 + 2t = 8 + 4t + -4t

Combine like terms: 4t + -4t = 0
24 + 2t = 8 + 0
24 + 2t = 8

Add '-24' to each side of the equation.
24 + -24 + 2t = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 2t = 8 + -24
2t = 8 + -24

Combine like terms: 8 + -24 = -16
2t = -16

Divide each side by '2'.
t = -8

Simplifying
t = -8

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