-3(2t-5)+4t=6t-8

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Solution for -3(2t-5)+4t=6t-8 equation:


Simplifying
-3(2t + -5) + 4t = 6t + -8

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

Combine like terms: -6t + 4t = -2t
15 + -2t = 6t + -8

Reorder the terms:
15 + -2t = -8 + 6t

Solving
15 + -2t = -8 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + -2t + -6t = -8 + 6t + -6t

Combine like terms: -2t + -6t = -8t
15 + -8t = -8 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -8t = -8 + 0
15 + -8t = -8

Add '-15' to each side of the equation.
15 + -15 + -8t = -8 + -15

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

Combine like terms: -8 + -15 = -23
-8t = -23

Divide each side by '-8'.
t = 2.875

Simplifying
t = 2.875

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