(5t+9)-(3t-13)=2(11)+t

Solution for (5t+9)-(3t-13)=2(11)+t equation:

Simplifying
(5t + 9) + -1(3t + -13) = 2(11) + t

Reorder the terms:
(9 + 5t) + -1(3t + -13) = 2(11) + t

Remove parenthesis around (9 + 5t)
9 + 5t + -1(3t + -13) = 2(11) + t

Reorder the terms:
9 + 5t + -1(-13 + 3t) = 2(11) + t
9 + 5t + (-13 * -1 + 3t * -1) = 2(11) + t
9 + 5t + (13 + -3t) = 2(11) + t

Reorder the terms:
9 + 13 + 5t + -3t = 2(11) + t

Combine like terms: 9 + 13 = 22
22 + 5t + -3t = 2(11) + t

Combine like terms: 5t + -3t = 2t
22 + 2t = 2(11) + t

Multiply 2 * 11
22 + 2t = 22 + t

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

Combine like terms: 22 + -22 = 0
0 + 2t = 22 + -22 + t
2t = 22 + -22 + t

Combine like terms: 22 + -22 = 0
2t = 0 + t
2t = t

Solving
2t = 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.
2t + -1t = t + -1t

Combine like terms: 2t + -1t = 1t
1t = t + -1t

Combine like terms: t + -1t = 0
1t = 0

Divide each side by '1'.
t = 0

Simplifying
t = 0