5((5x-10)-(6+7))+(82(5))=20

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Solution for 5((5x-10)-(6+7))+(82(5))=20 equation: 


Simplifying
5((5x + -10) + -1(6 + 7)) + (82(5)) = 20

Reorder the terms:
5((-10 + 5x) + -1(6 + 7)) + (82(5)) = 20

Remove parenthesis around (-10 + 5x)
5(-10 + 5x + -1(6 + 7)) + (82(5)) = 20

Combine like terms: 6 + 7 = 13
5(-10 + 5x + -1(13)) + (82(5)) = 20

Multiply -1 * 13
5(-10 + 5x + -13) + (82(5)) = 20

Reorder the terms:
5(-10 + -13 + 5x) + (82(5)) = 20

Combine like terms: -10 + -13 = -23
5(-23 + 5x) + (82(5)) = 20
(-23 * 5 + 5x * 5) + (82(5)) = 20
(-115 + 25x) + (82(5)) = 20

Multiply 82 * 5
-115 + 25x + (410) = 20
-115 + 25x + 410 = 20

Reorder the terms:
-115 + 410 + 25x = 20

Combine like terms: -115 + 410 = 295
295 + 25x = 20

Solving
295 + 25x = 20

Solving for variable 'x'.

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

Add '-295' to each side of the equation.
295 + -295 + 25x = 20 + -295

Combine like terms: 295 + -295 = 0
0 + 25x = 20 + -295
25x = 20 + -295

Combine like terms: 20 + -295 = -275
25x = -275

Divide each side by '25'.
x = -11

Simplifying
x = -11

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