2(x+3)=4(2x-9)

Solution for 2(x+3)=4(2x-9) equation:

Simplifying
2(x + 3) = 4(2x + -9)

Reorder the terms:
2(3 + x) = 4(2x + -9)
(3 * 2 + x * 2) = 4(2x + -9)
(6 + 2x) = 4(2x + -9)

Reorder the terms:
6 + 2x = 4(-9 + 2x)
6 + 2x = (-9 * 4 + 2x * 4)
6 + 2x = (-36 + 8x)

Solving
6 + 2x = -36 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = -36 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -36 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -36 + 0
6 + -6x = -36

Add '-6' to each side of the equation.
6 + -6 + -6x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -36 + -6
-6x = -36 + -6

Combine like terms: -36 + -6 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7