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

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

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

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

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

Reorder the terms:
6 + -2x = 6 + 4x + 9x

Combine like terms: 4x + 9x = 13x
6 + -2x = 6 + 13x

Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + 13x

Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + 13x
-2x = 6 + -6 + 13x

Combine like terms: 6 + -6 = 0
-2x = 0 + 13x
-2x = 13x

Solving
-2x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-2x + -13x = 13x + -13x

Combine like terms: -2x + -13x = -15x
-15x = 13x + -13x

Combine like terms: 13x + -13x = 0
-15x = 0

Divide each side by '-15'.
x = 0

Simplifying
x = 0