-3(t-5)+7t=8t-5

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Solution for -3(t-5)+7t=8t-5 equation: 


Simplifying
-3(t + -5) + 7t = 8t + -5

Reorder the terms:
-3(-5 + t) + 7t = 8t + -5
(-5 * -3 + t * -3) + 7t = 8t + -5
(15 + -3t) + 7t = 8t + -5

Combine like terms: -3t + 7t = 4t
15 + 4t = 8t + -5

Reorder the terms:
15 + 4t = -5 + 8t

Solving
15 + 4t = -5 + 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.
15 + 4t + -8t = -5 + 8t + -8t

Combine like terms: 4t + -8t = -4t
15 + -4t = -5 + 8t + -8t

Combine like terms: 8t + -8t = 0
15 + -4t = -5 + 0
15 + -4t = -5

Add '-15' to each side of the equation.
15 + -15 + -4t = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = -5 + -15
-4t = -5 + -15

Combine like terms: -5 + -15 = -20
-4t = -20

Divide each side by '-4'.
t = 5

Simplifying
t = 5

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