2(t-2)+4(5+3t)=

Solution for 2(t-2)+4(5+3t)= equation:

Simplifying
2(t + -2) + 4(5 + 3t) = 0

Reorder the terms:
2(-2 + t) + 4(5 + 3t) = 0
(-2 * 2 + t * 2) + 4(5 + 3t) = 0
(-4 + 2t) + 4(5 + 3t) = 0
-4 + 2t + (5 * 4 + 3t * 4) = 0
-4 + 2t + (20 + 12t) = 0

Reorder the terms:
-4 + 20 + 2t + 12t = 0

Combine like terms: -4 + 20 = 16
16 + 2t + 12t = 0

Combine like terms: 2t + 12t = 14t
16 + 14t = 0

Solving
16 + 14t = 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 + 14t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 14t = 0 + -16
14t = 0 + -16

Combine like terms: 0 + -16 = -16
14t = -16

Divide each side by '14'.
t = -1.142857143

Simplifying
t = -1.142857143