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

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


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

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

Reorder the terms:
-15 + 2T + 6t = 5t + -8

Reorder the terms:
-15 + 2T + 6t = -8 + 5t

Solving
-15 + 2T + 6t = -8 + 5t

Solving for variable 'T'.

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

Add '15' to each side of the equation.
-15 + 2T + 15 + 6t = -8 + 15 + 5t

Reorder the terms:
-15 + 15 + 2T + 6t = -8 + 15 + 5t

Combine like terms: -15 + 15 = 0
0 + 2T + 6t = -8 + 15 + 5t
2T + 6t = -8 + 15 + 5t

Combine like terms: -8 + 15 = 7
2T + 6t = 7 + 5t

Add '-6t' to each side of the equation.
2T + 6t + -6t = 7 + 5t + -6t

Combine like terms: 6t + -6t = 0
2T + 0 = 7 + 5t + -6t
2T = 7 + 5t + -6t

Combine like terms: 5t + -6t = -1t
2T = 7 + -1t

Divide each side by '2'.
T = 3.5 + -0.5t

Simplifying
T = 3.5 + -0.5t

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