2(t-3)+4=2(2t-6)

Solution for 2(t-3)+4=2(2t-6) equation:

Simplifying
2(t + -3) + 4 = 2(2t + -6)

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

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

Combine like terms: -6 + 4 = -2
-2 + 2t = 2(2t + -6)

Reorder the terms:
-2 + 2t = 2(-6 + 2t)
-2 + 2t = (-6 * 2 + 2t * 2)
-2 + 2t = (-12 + 4t)

Solving
-2 + 2t = -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.
-2 + 2t + -4t = -12 + 4t + -4t

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

Combine like terms: 4t + -4t = 0
-2 + -2t = -12 + 0
-2 + -2t = -12

Add '2' to each side of the equation.
-2 + 2 + -2t = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -2t = -12 + 2
-2t = -12 + 2

Combine like terms: -12 + 2 = -10
-2t = -10

Divide each side by '-2'.
t = 5

Simplifying
t = 5