-2(x-3)-x=4(x+5)-21

Solution for -2(x-3)-x=4(x+5)-21 equation:

Simplifying
-2(x + -3) + -1x = 4(x + 5) + -21

Reorder the terms:
-2(-3 + x) + -1x = 4(x + 5) + -21
(-3 * -2 + x * -2) + -1x = 4(x + 5) + -21
(6 + -2x) + -1x = 4(x + 5) + -21

Combine like terms: -2x + -1x = -3x
6 + -3x = 4(x + 5) + -21

Reorder the terms:
6 + -3x = 4(5 + x) + -21
6 + -3x = (5 * 4 + x * 4) + -21
6 + -3x = (20 + 4x) + -21

Reorder the terms:
6 + -3x = 20 + -21 + 4x

Combine like terms: 20 + -21 = -1
6 + -3x = -1 + 4x

Solving
6 + -3x = -1 + 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 + -3x + -4x = -1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
6 + -7x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -7x = -1 + 0
6 + -7x = -1

Add '-6' to each side of the equation.
6 + -6 + -7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -1 + -6
-7x = -1 + -6

Combine like terms: -1 + -6 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1