3(2(-x)+1)-4(-x)=-x+19

Solution for 3(2(-x)+1)-4(-x)=-x+19 equation:

Simplifying
3(2(-1x) + 1) + -4(-1x) = -1x + 19

Remove parenthesis around (-1x)
3(2 * -1x + 1) + -4(-1x) = -1x + 19

Multiply 2 * -1
3(-2x + 1) + -4(-1x) = -1x + 19

Reorder the terms:
3(1 + -2x) + -4(-1x) = -1x + 19
(1 * 3 + -2x * 3) + -4(-1x) = -1x + 19
(3 + -6x) + -4(-1x) = -1x + 19

Remove parenthesis around (-1x)
3 + -6x + -4 * -1x = -1x + 19

Multiply -4 * -1
3 + -6x + 4x = -1x + 19

Combine like terms: -6x + 4x = -2x
3 + -2x = -1x + 19

Reorder the terms:
3 + -2x = 19 + -1x

Solving
3 + -2x = 19 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + -2x + x = 19 + -1x + x

Combine like terms: -2x + x = -1x
3 + -1x = 19 + -1x + x

Combine like terms: -1x + x = 0
3 + -1x = 19 + 0
3 + -1x = 19

Add '-3' to each side of the equation.
3 + -3 + -1x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 19 + -3
-1x = 19 + -3

Combine like terms: 19 + -3 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16