-6(x+9)-(4-5x)=-2x

Solution for -6(x+9)-(4-5x)=-2x equation:

Simplifying
-6(x + 9) + -1(4 + -5x) = -2x

Reorder the terms:
-6(9 + x) + -1(4 + -5x) = -2x
(9 * -6 + x * -6) + -1(4 + -5x) = -2x
(-54 + -6x) + -1(4 + -5x) = -2x
-54 + -6x + (4 * -1 + -5x * -1) = -2x
-54 + -6x + (-4 + 5x) = -2x

Reorder the terms:
-54 + -4 + -6x + 5x = -2x

Combine like terms: -54 + -4 = -58
-58 + -6x + 5x = -2x

Combine like terms: -6x + 5x = -1x
-58 + -1x = -2x

Solving
-58 + -1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-58 + -1x + 2x = -2x + 2x

Combine like terms: -1x + 2x = 1x
-58 + 1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-58 + 1x = 0

Add '58' to each side of the equation.
-58 + 58 + 1x = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 1x = 0 + 58
1x = 0 + 58

Combine like terms: 0 + 58 = 58
1x = 58

Divide each side by '1'.
x = 58

Simplifying
x = 58