1.5(9t+6)-3=0.5(10+4t)

Solution for 1.5(9t+6)-3=0.5(10+4t) equation:

Simplifying
1.5(9t + 6) + -3 = 0.5(10 + 4t)

Reorder the terms:
1.5(6 + 9t) + -3 = 0.5(10 + 4t)
(6 * 1.5 + 9t * 1.5) + -3 = 0.5(10 + 4t)
(9 + 13.5t) + -3 = 0.5(10 + 4t)

Reorder the terms:
9 + -3 + 13.5t = 0.5(10 + 4t)

Combine like terms: 9 + -3 = 6
6 + 13.5t = 0.5(10 + 4t)
6 + 13.5t = (10 * 0.5 + 4t * 0.5)
6 + 13.5t = (5 + 2t)

Solving
6 + 13.5t = 5 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
6 + 13.5t + -2t = 5 + 2t + -2t

Combine like terms: 13.5t + -2t = 11.5t
6 + 11.5t = 5 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 11.5t = 5 + 0
6 + 11.5t = 5

Add '-6' to each side of the equation.
6 + -6 + 11.5t = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 11.5t = 5 + -6
11.5t = 5 + -6

Combine like terms: 5 + -6 = -1
11.5t = -1

Divide each side by '11.5'.
t = -0.08695652174

Simplifying
t = -0.08695652174