5x+2(11-4x)=82-x

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Solution for 5x+2(11-4x)=82-x equation:


Simplifying
5x + 2(11 + -4x) = 82 + -1x
5x + (11 * 2 + -4x * 2) = 82 + -1x
5x + (22 + -8x) = 82 + -1x

Reorder the terms:
22 + 5x + -8x = 82 + -1x

Combine like terms: 5x + -8x = -3x
22 + -3x = 82 + -1x

Solving
22 + -3x = 82 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
22 + -3x + x = 82 + -1x + x

Combine like terms: -3x + x = -2x
22 + -2x = 82 + -1x + x

Combine like terms: -1x + x = 0
22 + -2x = 82 + 0
22 + -2x = 82

Add '-22' to each side of the equation.
22 + -22 + -2x = 82 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 82 + -22
-2x = 82 + -22

Combine like terms: 82 + -22 = 60
-2x = 60

Divide each side by '-2'.
x = -30

Simplifying
x = -30

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