3t-6=4(t+6)

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

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

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

Reorder the terms:
-6 + 3t = 4(6 + t)
-6 + 3t = (6 * 4 + t * 4)
-6 + 3t = (24 + 4t)

Solving
-6 + 3t = 24 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-6 + 3t + -4t = 24 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-6 + -1t = 24 + 4t + -4t

Combine like terms: 4t + -4t = 0
-6 + -1t = 24 + 0
-6 + -1t = 24

Add '6' to each side of the equation.
-6 + 6 + -1t = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 24 + 6
-1t = 24 + 6

Combine like terms: 24 + 6 = 30
-1t = 30

Divide each side by '-1'.
t = -30

Simplifying
t = -30