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

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


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

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

Combine like terms: -2t + 5t = 3t
10 + 3t = 8t + -4

Reorder the terms:
10 + 3t = -4 + 8t

Solving
10 + 3t = -4 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
10 + 3t + -8t = -4 + 8t + -8t

Combine like terms: 3t + -8t = -5t
10 + -5t = -4 + 8t + -8t

Combine like terms: 8t + -8t = 0
10 + -5t = -4 + 0
10 + -5t = -4

Add '-10' to each side of the equation.
10 + -10 + -5t = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -5t = -4 + -10
-5t = -4 + -10

Combine like terms: -4 + -10 = -14
-5t = -14

Divide each side by '-5'.
t = 2.8

Simplifying
t = 2.8

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