-5.3(2t+5)-1.4(3t-6)=

Solution for -5.3(2t+5)-1.4(3t-6)= equation:

Simplifying
-5.3(2t + 5) + -1.4(3t + -6) = 0

Reorder the terms:
-5.3(5 + 2t) + -1.4(3t + -6) = 0
(5 * -5.3 + 2t * -5.3) + -1.4(3t + -6) = 0
(-26.5 + -10.6t) + -1.4(3t + -6) = 0

Reorder the terms:
-26.5 + -10.6t + -1.4(-6 + 3t) = 0
-26.5 + -10.6t + (-6 * -1.4 + 3t * -1.4) = 0
-26.5 + -10.6t + (8.4 + -4.2t) = 0

Reorder the terms:
-26.5 + 8.4 + -10.6t + -4.2t = 0

Combine like terms: -26.5 + 8.4 = -18.1
-18.1 + -10.6t + -4.2t = 0

Combine like terms: -10.6t + -4.2t = -14.8t
-18.1 + -14.8t = 0

Solving
-18.1 + -14.8t = 0

Solving for variable 't'.

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

Add '18.1' to each side of the equation.
-18.1 + 18.1 + -14.8t = 0 + 18.1

Combine like terms: -18.1 + 18.1 = 0.0
0.0 + -14.8t = 0 + 18.1
-14.8t = 0 + 18.1

Combine like terms: 0 + 18.1 = 18.1
-14.8t = 18.1

Divide each side by '-14.8'.
t = -1.222972973

Simplifying
t = -1.222972973