-5.2(2t+5)-1.4(3t-6)=

Solution for -5.2(2t+5)-1.4(3t-6)= equation:

Simplifying
-5.2(2t + 5) + -1.4(3t + -6) = 0

Reorder the terms:
-5.2(5 + 2t) + -1.4(3t + -6) = 0
(5 * -5.2 + 2t * -5.2) + -1.4(3t + -6) = 0
(-26 + -10.4t) + -1.4(3t + -6) = 0

Reorder the terms:
-26 + -10.4t + -1.4(-6 + 3t) = 0
-26 + -10.4t + (-6 * -1.4 + 3t * -1.4) = 0
-26 + -10.4t + (8.4 + -4.2t) = 0

Reorder the terms:
-26 + 8.4 + -10.4t + -4.2t = 0

Combine like terms: -26 + 8.4 = -17.6
-17.6 + -10.4t + -4.2t = 0

Combine like terms: -10.4t + -4.2t = -14.6t
-17.6 + -14.6t = 0

Solving
-17.6 + -14.6t = 0

Solving for variable 't'.

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

Add '17.6' to each side of the equation.
-17.6 + 17.6 + -14.6t = 0 + 17.6

Combine like terms: -17.6 + 17.6 = 0.0
0.0 + -14.6t = 0 + 17.6
-14.6t = 0 + 17.6

Combine like terms: 0 + 17.6 = 17.6
-14.6t = 17.6

Divide each side by '-14.6'.
t = -1.205479452

Simplifying
t = -1.205479452