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

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


Simplifying
3(8 + -3t) = 5(2 + t)
(8 * 3 + -3t * 3) = 5(2 + t)
(24 + -9t) = 5(2 + t)
24 + -9t = (2 * 5 + t * 5)
24 + -9t = (10 + 5t)

Solving
24 + -9t = 10 + 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.
24 + -9t + -5t = 10 + 5t + -5t

Combine like terms: -9t + -5t = -14t
24 + -14t = 10 + 5t + -5t

Combine like terms: 5t + -5t = 0
24 + -14t = 10 + 0
24 + -14t = 10

Add '-24' to each side of the equation.
24 + -24 + -14t = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -14t = 10 + -24
-14t = 10 + -24

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

Divide each side by '-14'.
t = 1

Simplifying
t = 1

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