2x-11=-6(-1-4x)-5x

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Solution for 2x-11=-6(-1-4x)-5x equation:


Simplifying
2x + -11 = -6(-1 + -4x) + -5x

Reorder the terms:
-11 + 2x = -6(-1 + -4x) + -5x
-11 + 2x = (-1 * -6 + -4x * -6) + -5x
-11 + 2x = (6 + 24x) + -5x

Combine like terms: 24x + -5x = 19x
-11 + 2x = 6 + 19x

Solving
-11 + 2x = 6 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-11 + 2x + -19x = 6 + 19x + -19x

Combine like terms: 2x + -19x = -17x
-11 + -17x = 6 + 19x + -19x

Combine like terms: 19x + -19x = 0
-11 + -17x = 6 + 0
-11 + -17x = 6

Add '11' to each side of the equation.
-11 + 11 + -17x = 6 + 11

Combine like terms: -11 + 11 = 0
0 + -17x = 6 + 11
-17x = 6 + 11

Combine like terms: 6 + 11 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1

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