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

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


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

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

Combine like terms: -6t + 3t = -3t
10 + -3t = 2t + -2

Reorder the terms:
10 + -3t = -2 + 2t

Solving
10 + -3t = -2 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
10 + -3t + -2t = -2 + 2t + -2t

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

Combine like terms: 2t + -2t = 0
10 + -5t = -2 + 0
10 + -5t = -2

Add '-10' to each side of the equation.
10 + -10 + -5t = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -5t = -2 + -10
-5t = -2 + -10

Combine like terms: -2 + -10 = -12
-5t = -12

Divide each side by '-5'.
t = 2.4

Simplifying
t = 2.4

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