3t+17=5t-75

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Solution for 3t+17=5t-75 equation:


Simplifying
3t + 17 = 5t + -75

Reorder the terms:
17 + 3t = 5t + -75

Reorder the terms:
17 + 3t = -75 + 5t

Solving
17 + 3t = -75 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
17 + 3t + -5t = -75 + 5t + -5t

Combine like terms: 3t + -5t = -2t
17 + -2t = -75 + 5t + -5t

Combine like terms: 5t + -5t = 0
17 + -2t = -75 + 0
17 + -2t = -75

Add '-17' to each side of the equation.
17 + -17 + -2t = -75 + -17

Combine like terms: 17 + -17 = 0
0 + -2t = -75 + -17
-2t = -75 + -17

Combine like terms: -75 + -17 = -92
-2t = -92

Divide each side by '-2'.
t = 46

Simplifying
t = 46

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