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 = 4t
24 + 4t = 10 + 5t + -5t

Combine like terms: 5t + -5t = 0
24 + 4t = 10 + 0
24 + 4t = 10

Add '-24' to each side of the equation.
24 + -24 + 4t = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 4t = 10 + -24
4t = 10 + -24

Combine like terms: 10 + -24 = -14
4t = -14

Divide each side by '4'.
t = -3.5

Simplifying
t = -3.5

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