t+3=3(2t-4)

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

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

Reorder the terms:
3 + t = 3(2t + -4)

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

Solving
3 + t = -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.
3 + t + -6t = -12 + 6t + -6t

Combine like terms: t + -6t = -5t
3 + -5t = -12 + 6t + -6t

Combine like terms: 6t + -6t = 0
3 + -5t = -12 + 0
3 + -5t = -12

Add '-3' to each side of the equation.
3 + -3 + -5t = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5t = -12 + -3
-5t = -12 + -3

Combine like terms: -12 + -3 = -15
-5t = -15

Divide each side by '-5'.
t = 3

Simplifying
t = 3