5.12t+12.42(30-t)=

Solution for 5.12t+12.42(30-t)= equation:

Simplifying
5.12t + 12.42(30 + -1t) = 0
5.12t + (30 * 12.42 + -1t * 12.42) = 0
5.12t + (372.6 + -12.42t) = 0

Reorder the terms:
372.6 + 5.12t + -12.42t = 0

Combine like terms: 5.12t + -12.42t = -7.3t
372.6 + -7.3t = 0

Solving
372.6 + -7.3t = 0

Solving for variable 't'.

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

Add '-372.6' to each side of the equation.
372.6 + -372.6 + -7.3t = 0 + -372.6

Combine like terms: 372.6 + -372.6 = 0.0
0.0 + -7.3t = 0 + -372.6
-7.3t = 0 + -372.6

Combine like terms: 0 + -372.6 = -372.6
-7.3t = -372.6

Divide each side by '-7.3'.
t = 51.04109589

Simplifying
t = 51.04109589