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

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

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

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

Reorder the terms:
-6 + 2t = 4(2 + t)
-6 + 2t = (2 * 4 + t * 4)
-6 + 2t = (8 + 4t)

Solving
-6 + 2t = 8 + 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 + 2t + -4t = 8 + 4t + -4t

Combine like terms: 2t + -4t = -2t
-6 + -2t = 8 + 4t + -4t

Combine like terms: 4t + -4t = 0
-6 + -2t = 8 + 0
-6 + -2t = 8

Add '6' to each side of the equation.
-6 + 6 + -2t = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -2t = 8 + 6
-2t = 8 + 6

Combine like terms: 8 + 6 = 14
-2t = 14

Divide each side by '-2'.
t = -7

Simplifying
t = -7