15x+2(11-4x)=82+x

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Solution for 15x+2(11-4x)=82+x equation:


Simplifying
15x + 2(11 + -4x) = 82 + x
15x + (11 * 2 + -4x * 2) = 82 + x
15x + (22 + -8x) = 82 + x

Reorder the terms:
22 + 15x + -8x = 82 + x

Combine like terms: 15x + -8x = 7x
22 + 7x = 82 + x

Solving
22 + 7x = 82 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + 7x + -1x = 82 + x + -1x

Combine like terms: 7x + -1x = 6x
22 + 6x = 82 + x + -1x

Combine like terms: x + -1x = 0
22 + 6x = 82 + 0
22 + 6x = 82

Add '-22' to each side of the equation.
22 + -22 + 6x = 82 + -22

Combine like terms: 22 + -22 = 0
0 + 6x = 82 + -22
6x = 82 + -22

Combine like terms: 82 + -22 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10

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