11-6x=-7(7-8x)-2x

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Solution for 11-6x=-7(7-8x)-2x equation:


Simplifying
11 + -6x = -7(7 + -8x) + -2x
11 + -6x = (7 * -7 + -8x * -7) + -2x
11 + -6x = (-49 + 56x) + -2x

Combine like terms: 56x + -2x = 54x
11 + -6x = -49 + 54x

Solving
11 + -6x = -49 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
11 + -6x + -54x = -49 + 54x + -54x

Combine like terms: -6x + -54x = -60x
11 + -60x = -49 + 54x + -54x

Combine like terms: 54x + -54x = 0
11 + -60x = -49 + 0
11 + -60x = -49

Add '-11' to each side of the equation.
11 + -11 + -60x = -49 + -11

Combine like terms: 11 + -11 = 0
0 + -60x = -49 + -11
-60x = -49 + -11

Combine like terms: -49 + -11 = -60
-60x = -60

Divide each side by '-60'.
x = 1

Simplifying
x = 1

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