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

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

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

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

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

Solving
6 + 2X = -8 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
6 + 2X + -4X = -8 + 4X + -4X

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

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

Add '-6' to each side of the equation.
6 + -6 + -2X = -8 + -6

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

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

Divide each side by '-2'.
X = 7

Simplifying
X = 7