2t-6=3(t+4)

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

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

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

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

Solving
-6 + 2t = 12 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-6 + 2t + -3t = 12 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-6 + -1t = 12 + 3t + -3t

Combine like terms: 3t + -3t = 0
-6 + -1t = 12 + 0
-6 + -1t = 12

Add '6' to each side of the equation.
-6 + 6 + -1t = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 12 + 6
-1t = 12 + 6

Combine like terms: 12 + 6 = 18
-1t = 18

Divide each side by '-1'.
t = -18

Simplifying
t = -18