-5.3(3t+6)-1.2(2t-4)=

Solution for -5.3(3t+6)-1.2(2t-4)= equation:

Simplifying
-5.3(3t + 6) + -1.2(2t + -4) = 0

Reorder the terms:
-5.3(6 + 3t) + -1.2(2t + -4) = 0
(6 * -5.3 + 3t * -5.3) + -1.2(2t + -4) = 0
(-31.8 + -15.9t) + -1.2(2t + -4) = 0

Reorder the terms:
-31.8 + -15.9t + -1.2(-4 + 2t) = 0
-31.8 + -15.9t + (-4 * -1.2 + 2t * -1.2) = 0
-31.8 + -15.9t + (4.8 + -2.4t) = 0

Reorder the terms:
-31.8 + 4.8 + -15.9t + -2.4t = 0

Combine like terms: -31.8 + 4.8 = -27
-27 + -15.9t + -2.4t = 0

Combine like terms: -15.9t + -2.4t = -18.3t
-27 + -18.3t = 0

Solving
-27 + -18.3t = 0

Solving for variable 't'.

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

Add '27' to each side of the equation.
-27 + 27 + -18.3t = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -18.3t = 0 + 27
-18.3t = 0 + 27

Combine like terms: 0 + 27 = 27
-18.3t = 27

Divide each side by '-18.3'.
t = -1.475409836

Simplifying
t = -1.475409836