2(5-t)+6t=t+22

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Solution for 2(5-t)+6t=t+22 equation: 


Simplifying
2(5 + -1t) + 6t = t + 22
(5 * 2 + -1t * 2) + 6t = t + 22
(10 + -2t) + 6t = t + 22

Combine like terms: -2t + 6t = 4t
10 + 4t = t + 22

Reorder the terms:
10 + 4t = 22 + t

Solving
10 + 4t = 22 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
10 + 4t + -1t = 22 + t + -1t

Combine like terms: 4t + -1t = 3t
10 + 3t = 22 + t + -1t

Combine like terms: t + -1t = 0
10 + 3t = 22 + 0
10 + 3t = 22

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

Combine like terms: 10 + -10 = 0
0 + 3t = 22 + -10
3t = 22 + -10

Combine like terms: 22 + -10 = 12
3t = 12

Divide each side by '3'.
t = 4

Simplifying
t = 4

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