6(3t-2)+5t=11-t

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Solution for 6(3t-2)+5t=11-t equation:


Simplifying
6(3t + -2) + 5t = 11 + -1t

Reorder the terms:
6(-2 + 3t) + 5t = 11 + -1t
(-2 * 6 + 3t * 6) + 5t = 11 + -1t
(-12 + 18t) + 5t = 11 + -1t

Combine like terms: 18t + 5t = 23t
-12 + 23t = 11 + -1t

Solving
-12 + 23t = 11 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-12 + 23t + t = 11 + -1t + t

Combine like terms: 23t + t = 24t
-12 + 24t = 11 + -1t + t

Combine like terms: -1t + t = 0
-12 + 24t = 11 + 0
-12 + 24t = 11

Add '12' to each side of the equation.
-12 + 12 + 24t = 11 + 12

Combine like terms: -12 + 12 = 0
0 + 24t = 11 + 12
24t = 11 + 12

Combine like terms: 11 + 12 = 23
24t = 23

Divide each side by '24'.
t = 0.9583333333

Simplifying
t = 0.9583333333

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