2(x-3)-4x=15x-(x+6)

Solution for 2(x-3)-4x=15x-(x+6) equation:

Simplifying
2(x + -3) + -4x = 15x + -1(x + 6)

Reorder the terms:
2(-3 + x) + -4x = 15x + -1(x + 6)
(-3 * 2 + x * 2) + -4x = 15x + -1(x + 6)
(-6 + 2x) + -4x = 15x + -1(x + 6)

Combine like terms: 2x + -4x = -2x
-6 + -2x = 15x + -1(x + 6)

Reorder the terms:
-6 + -2x = 15x + -1(6 + x)
-6 + -2x = 15x + (6 * -1 + x * -1)
-6 + -2x = 15x + (-6 + -1x)

Reorder the terms:
-6 + -2x = -6 + 15x + -1x

Combine like terms: 15x + -1x = 14x
-6 + -2x = -6 + 14x

Add '6' to each side of the equation.
-6 + 6 + -2x = -6 + 6 + 14x

Combine like terms: -6 + 6 = 0
0 + -2x = -6 + 6 + 14x
-2x = -6 + 6 + 14x

Combine like terms: -6 + 6 = 0
-2x = 0 + 14x
-2x = 14x

Solving
-2x = 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-2x + -14x = 14x + -14x

Combine like terms: -2x + -14x = -16x
-16x = 14x + -14x

Combine like terms: 14x + -14x = 0
-16x = 0

Divide each side by '-16'.
x = 0

Simplifying
x = 0