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

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

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

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

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

Solving
-6 + 2t = 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.
-6 + 2t + -6t = 12 + 6t + -6t

Combine like terms: 2t + -6t = -4t
-6 + -4t = 12 + 6t + -6t

Combine like terms: 6t + -6t = 0
-6 + -4t = 12 + 0
-6 + -4t = 12

Add '6' to each side of the equation.
-6 + 6 + -4t = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -4t = 12 + 6
-4t = 12 + 6

Combine like terms: 12 + 6 = 18
-4t = 18

Divide each side by '-4'.
t = -4.5

Simplifying
t = -4.5