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

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


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

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

Combine like terms: -3t + 2t = -1t
15 + -1t = 5t + -4

Reorder the terms:
15 + -1t = -4 + 5t

Solving
15 + -1t = -4 + 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.
15 + -1t + -5t = -4 + 5t + -5t

Combine like terms: -1t + -5t = -6t
15 + -6t = -4 + 5t + -5t

Combine like terms: 5t + -5t = 0
15 + -6t = -4 + 0
15 + -6t = -4

Add '-15' to each side of the equation.
15 + -15 + -6t = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -6t = -4 + -15
-6t = -4 + -15

Combine like terms: -4 + -15 = -19
-6t = -19

Divide each side by '-6'.
t = 3.166666667

Simplifying
t = 3.166666667

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