3t-6=4(t+3)

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

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

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

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

Solving
-6 + 3t = 12 + 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 = 12 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-6 + -1t = 12 + 4t + -4t

Combine like terms: 4t + -4t = 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