8(5+x)-1x+5(2-x)=82

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Solution for 8(5+x)-1x+5(2-x)=82 equation: 


Simplifying
8(5 + x) + -1x + 5(2 + -1x) = 82
(5 * 8 + x * 8) + -1x + 5(2 + -1x) = 82
(40 + 8x) + -1x + 5(2 + -1x) = 82
40 + 8x + -1x + (2 * 5 + -1x * 5) = 82
40 + 8x + -1x + (10 + -5x) = 82

Reorder the terms:
40 + 10 + 8x + -1x + -5x = 82

Combine like terms: 40 + 10 = 50
50 + 8x + -1x + -5x = 82

Combine like terms: 8x + -1x = 7x
50 + 7x + -5x = 82

Combine like terms: 7x + -5x = 2x
50 + 2x = 82

Solving
50 + 2x = 82

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 2x = 82 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = 82 + -50
2x = 82 + -50

Combine like terms: 82 + -50 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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