-11(6x-22)=6x+40

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Solution for -11(6x-22)=6x+40 equation:


Simplifying
-11(6x + -22) = 6x + 40

Reorder the terms:
-11(-22 + 6x) = 6x + 40
(-22 * -11 + 6x * -11) = 6x + 40
(242 + -66x) = 6x + 40

Reorder the terms:
242 + -66x = 40 + 6x

Solving
242 + -66x = 40 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
242 + -66x + -6x = 40 + 6x + -6x

Combine like terms: -66x + -6x = -72x
242 + -72x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
242 + -72x = 40 + 0
242 + -72x = 40

Add '-242' to each side of the equation.
242 + -242 + -72x = 40 + -242

Combine like terms: 242 + -242 = 0
0 + -72x = 40 + -242
-72x = 40 + -242

Combine like terms: 40 + -242 = -202
-72x = -202

Divide each side by '-72'.
x = 2.805555556

Simplifying
x = 2.805555556

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