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

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

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

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

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

Solving
-6 + 4x = 12 + 6t

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '4'.
x = 4.5 + 1.5t

Simplifying
x = 4.5 + 1.5t