6(t-3)=3(t-2)

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

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

Reorder the terms:
6(-3 + t) = 3(t + -2)
(-3 * 6 + t * 6) = 3(t + -2)
(-18 + 6t) = 3(t + -2)

Reorder the terms:
-18 + 6t = 3(-2 + t)
-18 + 6t = (-2 * 3 + t * 3)
-18 + 6t = (-6 + 3t)

Solving
-18 + 6t = -6 + 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.
-18 + 6t + -3t = -6 + 3t + -3t

Combine like terms: 6t + -3t = 3t
-18 + 3t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
-18 + 3t = -6 + 0
-18 + 3t = -6

Add '18' to each side of the equation.
-18 + 18 + 3t = -6 + 18

Combine like terms: -18 + 18 = 0
0 + 3t = -6 + 18
3t = -6 + 18

Combine like terms: -6 + 18 = 12
3t = 12

Divide each side by '3'.
t = 4

Simplifying
t = 4