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

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


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

Reorder the terms:
-2(-5 + 4t) + 5t = 3t + -3
(-5 * -2 + 4t * -2) + 5t = 3t + -3
(10 + -8t) + 5t = 3t + -3

Combine like terms: -8t + 5t = -3t
10 + -3t = 3t + -3

Reorder the terms:
10 + -3t = -3 + 3t

Solving
10 + -3t = -3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
10 + -3t + -3t = -3 + 3t + -3t

Combine like terms: -3t + -3t = -6t
10 + -6t = -3 + 3t + -3t

Combine like terms: 3t + -3t = 0
10 + -6t = -3 + 0
10 + -6t = -3

Add '-10' to each side of the equation.
10 + -10 + -6t = -3 + -10

Combine like terms: 10 + -10 = 0
0 + -6t = -3 + -10
-6t = -3 + -10

Combine like terms: -3 + -10 = -13
-6t = -13

Divide each side by '-6'.
t = 2.166666667

Simplifying
t = 2.166666667

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