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

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


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

Reorder the terms:
5(-8 + t) + -3(2t + -5) = 4 + -8(3t + 5)
(-8 * 5 + t * 5) + -3(2t + -5) = 4 + -8(3t + 5)
(-40 + 5t) + -3(2t + -5) = 4 + -8(3t + 5)

Reorder the terms:
-40 + 5t + -3(-5 + 2t) = 4 + -8(3t + 5)
-40 + 5t + (-5 * -3 + 2t * -3) = 4 + -8(3t + 5)
-40 + 5t + (15 + -6t) = 4 + -8(3t + 5)

Reorder the terms:
-40 + 15 + 5t + -6t = 4 + -8(3t + 5)

Combine like terms: -40 + 15 = -25
-25 + 5t + -6t = 4 + -8(3t + 5)

Combine like terms: 5t + -6t = -1t
-25 + -1t = 4 + -8(3t + 5)

Reorder the terms:
-25 + -1t = 4 + -8(5 + 3t)
-25 + -1t = 4 + (5 * -8 + 3t * -8)
-25 + -1t = 4 + (-40 + -24t)

Combine like terms: 4 + -40 = -36
-25 + -1t = -36 + -24t

Solving
-25 + -1t = -36 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
-25 + -1t + 24t = -36 + -24t + 24t

Combine like terms: -1t + 24t = 23t
-25 + 23t = -36 + -24t + 24t

Combine like terms: -24t + 24t = 0
-25 + 23t = -36 + 0
-25 + 23t = -36

Add '25' to each side of the equation.
-25 + 25 + 23t = -36 + 25

Combine like terms: -25 + 25 = 0
0 + 23t = -36 + 25
23t = -36 + 25

Combine like terms: -36 + 25 = -11
23t = -11

Divide each side by '23'.
t = -0.4782608696

Simplifying
t = -0.4782608696

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