5(t-4)+6(t-5)=-83

Solution for 5(t-4)+6(t-5)=-83 equation:

Simplifying
5(t + -4) + 6(t + -5) = -83

Reorder the terms:
5(-4 + t) + 6(t + -5) = -83
(-4 * 5 + t * 5) + 6(t + -5) = -83
(-20 + 5t) + 6(t + -5) = -83

Reorder the terms:
-20 + 5t + 6(-5 + t) = -83
-20 + 5t + (-5 * 6 + t * 6) = -83
-20 + 5t + (-30 + 6t) = -83

Reorder the terms:
-20 + -30 + 5t + 6t = -83

Combine like terms: -20 + -30 = -50
-50 + 5t + 6t = -83

Combine like terms: 5t + 6t = 11t
-50 + 11t = -83

Solving
-50 + 11t = -83

Solving for variable 't'.

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

Add '50' to each side of the equation.
-50 + 50 + 11t = -83 + 50

Combine like terms: -50 + 50 = 0
0 + 11t = -83 + 50
11t = -83 + 50

Combine like terms: -83 + 50 = -33
11t = -33

Divide each side by '11'.
t = -3

Simplifying
t = -3