2t+7=22-3t

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Solution for 2t+7=22-3t equation: 


Simplifying
2t + 7 = 22 + -3t

Reorder the terms:
7 + 2t = 22 + -3t

Solving
7 + 2t = 22 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
7 + 2t + 3t = 22 + -3t + 3t

Combine like terms: 2t + 3t = 5t
7 + 5t = 22 + -3t + 3t

Combine like terms: -3t + 3t = 0
7 + 5t = 22 + 0
7 + 5t = 22

Add '-7' to each side of the equation.
7 + -7 + 5t = 22 + -7

Combine like terms: 7 + -7 = 0
0 + 5t = 22 + -7
5t = 22 + -7

Combine like terms: 22 + -7 = 15
5t = 15

Divide each side by '5'.
t = 3

Simplifying
t = 3

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