3t-10=9t+22

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Solution for 3t-10=9t+22 equation:


Simplifying
3t + -10 = 9t + 22

Reorder the terms:
-10 + 3t = 9t + 22

Reorder the terms:
-10 + 3t = 22 + 9t

Solving
-10 + 3t = 22 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
-10 + 3t + -9t = 22 + 9t + -9t

Combine like terms: 3t + -9t = -6t
-10 + -6t = 22 + 9t + -9t

Combine like terms: 9t + -9t = 0
-10 + -6t = 22 + 0
-10 + -6t = 22

Add '10' to each side of the equation.
-10 + 10 + -6t = 22 + 10

Combine like terms: -10 + 10 = 0
0 + -6t = 22 + 10
-6t = 22 + 10

Combine like terms: 22 + 10 = 32
-6t = 32

Divide each side by '-6'.
t = -5.333333333

Simplifying
t = -5.333333333

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