5(t-8)-6(4+2t)=

Solution for 5(t-8)-6(4+2t)= equation:

Simplifying
5(t + -8) + -6(4 + 2t) = 0

Reorder the terms:
5(-8 + t) + -6(4 + 2t) = 0
(-8 * 5 + t * 5) + -6(4 + 2t) = 0
(-40 + 5t) + -6(4 + 2t) = 0
-40 + 5t + (4 * -6 + 2t * -6) = 0
-40 + 5t + (-24 + -12t) = 0

Reorder the terms:
-40 + -24 + 5t + -12t = 0

Combine like terms: -40 + -24 = -64
-64 + 5t + -12t = 0

Combine like terms: 5t + -12t = -7t
-64 + -7t = 0

Solving
-64 + -7t = 0

Solving for variable 't'.

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

Add '64' to each side of the equation.
-64 + 64 + -7t = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -7t = 0 + 64
-7t = 0 + 64

Combine like terms: 0 + 64 = 64
-7t = 64

Divide each side by '-7'.
t = -9.142857143

Simplifying
t = -9.142857143