2(x+5)-4(2x-82)=32

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Solution for 2(x+5)-4(2x-82)=32 equation: 


Simplifying
2(x + 5) + -4(2x + -82) = 32

Reorder the terms:
2(5 + x) + -4(2x + -82) = 32
(5 * 2 + x * 2) + -4(2x + -82) = 32
(10 + 2x) + -4(2x + -82) = 32

Reorder the terms:
10 + 2x + -4(-82 + 2x) = 32
10 + 2x + (-82 * -4 + 2x * -4) = 32
10 + 2x + (328 + -8x) = 32

Reorder the terms:
10 + 328 + 2x + -8x = 32

Combine like terms: 10 + 328 = 338
338 + 2x + -8x = 32

Combine like terms: 2x + -8x = -6x
338 + -6x = 32

Solving
338 + -6x = 32

Solving for variable 'x'.

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

Add '-338' to each side of the equation.
338 + -338 + -6x = 32 + -338

Combine like terms: 338 + -338 = 0
0 + -6x = 32 + -338
-6x = 32 + -338

Combine like terms: 32 + -338 = -306
-6x = -306

Divide each side by '-6'.
x = 51

Simplifying
x = 51

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