2t+46=5t-47

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Solution for 2t+46=5t-47 equation:


Simplifying
2t + 46 = 5t + -47

Reorder the terms:
46 + 2t = 5t + -47

Reorder the terms:
46 + 2t = -47 + 5t

Solving
46 + 2t = -47 + 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.
46 + 2t + -5t = -47 + 5t + -5t

Combine like terms: 2t + -5t = -3t
46 + -3t = -47 + 5t + -5t

Combine like terms: 5t + -5t = 0
46 + -3t = -47 + 0
46 + -3t = -47

Add '-46' to each side of the equation.
46 + -46 + -3t = -47 + -46

Combine like terms: 46 + -46 = 0
0 + -3t = -47 + -46
-3t = -47 + -46

Combine like terms: -47 + -46 = -93
-3t = -93

Divide each side by '-3'.
t = 31

Simplifying
t = 31

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