=3(5t+2)-2(4t+5)

Solution for =3(5t+2)-2(4t+5) equation:

Simplifying
0 = 3(5t + 2) + -2(4t + 5)

Reorder the terms:
0 = 3(2 + 5t) + -2(4t + 5)
0 = (2 * 3 + 5t * 3) + -2(4t + 5)
0 = (6 + 15t) + -2(4t + 5)

Reorder the terms:
0 = 6 + 15t + -2(5 + 4t)
0 = 6 + 15t + (5 * -2 + 4t * -2)
0 = 6 + 15t + (-10 + -8t)

Reorder the terms:
0 = 6 + -10 + 15t + -8t

Combine like terms: 6 + -10 = -4
0 = -4 + 15t + -8t

Combine like terms: 15t + -8t = 7t
0 = -4 + 7t

Solving
0 = -4 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
0 + -7t = -4 + 7t + -7t
Remove the zero:
-7t = -4 + 7t + -7t

Combine like terms: 7t + -7t = 0
-7t = -4 + 0
-7t = -4

Divide each side by '-7'.
t = 0.5714285714

Simplifying
t = 0.5714285714