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

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

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

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

Reorder the terms:
-6 + -2t = (-3 + 5t)(2)

Reorder the terms for easier multiplication:
-6 + -2t = 2(-3 + 5t)
-6 + -2t = (-3 * 2 + 5t * 2)
-6 + -2t = (-6 + 10t)

Add '6' to each side of the equation.
-6 + 6 + -2t = -6 + 6 + 10t

Combine like terms: -6 + 6 = 0
0 + -2t = -6 + 6 + 10t
-2t = -6 + 6 + 10t

Combine like terms: -6 + 6 = 0
-2t = 0 + 10t
-2t = 10t

Solving
-2t = 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
-2t + -10t = 10t + -10t

Combine like terms: -2t + -10t = -12t
-12t = 10t + -10t

Combine like terms: 10t + -10t = 0
-12t = 0

Divide each side by '-12'.
t = 0

Simplifying
t = 0