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

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

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

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

Reorder the terms:
6 + 3x = 2(-4 + 2t)
6 + 3x = (-4 * 2 + 2t * 2)
6 + 3x = (-8 + 4t)

Solving
6 + 3x = -8 + 4t

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 + 3x = -8 + -6 + 4t

Combine like terms: 6 + -6 = 0
0 + 3x = -8 + -6 + 4t
3x = -8 + -6 + 4t

Combine like terms: -8 + -6 = -14
3x = -14 + 4t

Divide each side by '3'.
x = -4.666666667 + 1.333333333t

Simplifying
x = -4.666666667 + 1.333333333t