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

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

Simplifying
2(x + 3) + 4(-1x) = 3(-1x)

Reorder the terms:
2(3 + x) + 4(-1x) = 3(-1x)
(3 * 2 + x * 2) + 4(-1x) = 3(-1x)
(6 + 2x) + 4(-1x) = 3(-1x)

Remove parenthesis around (-1x)
6 + 2x + 4 * -1x = 3(-1x)

Multiply 4 * -1
6 + 2x + -4x = 3(-1x)

Combine like terms: 2x + -4x = -2x
6 + -2x = 3(-1x)

Remove parenthesis around (-1x)
6 + -2x = 3 * -1x

Multiply 3 * -1
6 + -2x = -3x

Solving
6 + -2x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x = 0

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6

Combine like terms: 0 + -6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6