1.3(6t+12)=-3(2t-4)

Solution for 1.3(6t+12)=-3(2t-4) equation:

Simplifying
1.3(6t + 12) = -3(2t + -4)

Reorder the terms:
1.3(12 + 6t) = -3(2t + -4)
(12 * 1.3 + 6t * 1.3) = -3(2t + -4)
(15.6 + 7.8t) = -3(2t + -4)

Reorder the terms:
15.6 + 7.8t = -3(-4 + 2t)
15.6 + 7.8t = (-4 * -3 + 2t * -3)
15.6 + 7.8t = (12 + -6t)

Solving
15.6 + 7.8t = 12 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
15.6 + 7.8t + 6t = 12 + -6t + 6t

Combine like terms: 7.8t + 6t = 13.8t
15.6 + 13.8t = 12 + -6t + 6t

Combine like terms: -6t + 6t = 0
15.6 + 13.8t = 12 + 0
15.6 + 13.8t = 12

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 13.8t = 12 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 13.8t = 12 + -15.6
13.8t = 12 + -15.6

Combine like terms: 12 + -15.6 = -3.6
13.8t = -3.6

Divide each side by '13.8'.
t = -0.2608695652

Simplifying
t = -0.2608695652