2(3t-5)+t=30-t

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Solution for 2(3t-5)+t=30-t equation:


Simplifying
2(3t + -5) + t = 30 + -1t

Reorder the terms:
2(-5 + 3t) + t = 30 + -1t
(-5 * 2 + 3t * 2) + t = 30 + -1t
(-10 + 6t) + t = 30 + -1t

Combine like terms: 6t + t = 7t
-10 + 7t = 30 + -1t

Solving
-10 + 7t = 30 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-10 + 7t + t = 30 + -1t + t

Combine like terms: 7t + t = 8t
-10 + 8t = 30 + -1t + t

Combine like terms: -1t + t = 0
-10 + 8t = 30 + 0
-10 + 8t = 30

Add '10' to each side of the equation.
-10 + 10 + 8t = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 8t = 30 + 10
8t = 30 + 10

Combine like terms: 30 + 10 = 40
8t = 40

Divide each side by '8'.
t = 5

Simplifying
t = 5

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