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

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


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

Reorder the terms:
-5(-3 + 2t) + 8t = 5t + -4
(-3 * -5 + 2t * -5) + 8t = 5t + -4
(15 + -10t) + 8t = 5t + -4

Combine like terms: -10t + 8t = -2t
15 + -2t = 5t + -4

Reorder the terms:
15 + -2t = -4 + 5t

Solving
15 + -2t = -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 + -2t + -5t = -4 + 5t + -5t

Combine like terms: -2t + -5t = -7t
15 + -7t = -4 + 5t + -5t

Combine like terms: 5t + -5t = 0
15 + -7t = -4 + 0
15 + -7t = -4

Add '-15' to each side of the equation.
15 + -15 + -7t = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -7t = -4 + -15
-7t = -4 + -15

Combine like terms: -4 + -15 = -19
-7t = -19

Divide each side by '-7'.
t = 2.714285714

Simplifying
t = 2.714285714

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