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

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


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

Reorder the terms:
5(-5 + t) = 8(t + 4)
(-5 * 5 + t * 5) = 8(t + 4)
(-25 + 5t) = 8(t + 4)

Reorder the terms:
-25 + 5t = 8(4 + t)
-25 + 5t = (4 * 8 + t * 8)
-25 + 5t = (32 + 8t)

Solving
-25 + 5t = 32 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-25 + 5t + -8t = 32 + 8t + -8t

Combine like terms: 5t + -8t = -3t
-25 + -3t = 32 + 8t + -8t

Combine like terms: 8t + -8t = 0
-25 + -3t = 32 + 0
-25 + -3t = 32

Add '25' to each side of the equation.
-25 + 25 + -3t = 32 + 25

Combine like terms: -25 + 25 = 0
0 + -3t = 32 + 25
-3t = 32 + 25

Combine like terms: 32 + 25 = 57
-3t = 57

Divide each side by '-3'.
t = -19

Simplifying
t = -19

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