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

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


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

Reorder the terms:
-5(-2 + t) + 8t = 6t + -3
(-2 * -5 + t * -5) + 8t = 6t + -3
(10 + -5t) + 8t = 6t + -3

Combine like terms: -5t + 8t = 3t
10 + 3t = 6t + -3

Reorder the terms:
10 + 3t = -3 + 6t

Solving
10 + 3t = -3 + 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.
10 + 3t + -6t = -3 + 6t + -6t

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

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

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

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

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

Divide each side by '-3'.
t = 4.333333333

Simplifying
t = 4.333333333

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