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

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

Simplifying
2(t + -3) + -5(2t + 2) = 0

Reorder the terms:
2(-3 + t) + -5(2t + 2) = 0
(-3 * 2 + t * 2) + -5(2t + 2) = 0
(-6 + 2t) + -5(2t + 2) = 0

Reorder the terms:
-6 + 2t + -5(2 + 2t) = 0
-6 + 2t + (2 * -5 + 2t * -5) = 0
-6 + 2t + (-10 + -10t) = 0

Reorder the terms:
-6 + -10 + 2t + -10t = 0

Combine like terms: -6 + -10 = -16
-16 + 2t + -10t = 0

Combine like terms: 2t + -10t = -8t
-16 + -8t = 0

Solving
-16 + -8t = 0

Solving for variable 't'.

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

Add '16' to each side of the equation.
-16 + 16 + -8t = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -8t = 0 + 16
-8t = 0 + 16

Combine like terms: 0 + 16 = 16
-8t = 16

Divide each side by '-8'.
t = -2

Simplifying
t = -2