5t+8(1.4-t)=10

Solution for 5t+8(1.4-t)=10 equation:

Simplifying
5t + 8(1.4 + -1t) = 10
5t + (1.4 * 8 + -1t * 8) = 10
5t + (11.2 + -8t) = 10

Reorder the terms:
11.2 + 5t + -8t = 10

Combine like terms: 5t + -8t = -3t
11.2 + -3t = 10

Solving
11.2 + -3t = 10

Solving for variable 't'.

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

Add '-11.2' to each side of the equation.
11.2 + -11.2 + -3t = 10 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + -3t = 10 + -11.2
-3t = 10 + -11.2

Combine like terms: 10 + -11.2 = -1.2
-3t = -1.2

Divide each side by '-3'.
t = 0.4

Simplifying
t = 0.4