82(x-3)=-5(x+5)

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Solution for 82(x-3)=-5(x+5) equation:


Simplifying
82(x + -3) = -5(x + 5)

Reorder the terms:
82(-3 + x) = -5(x + 5)
(-3 * 82 + x * 82) = -5(x + 5)
(-246 + 82x) = -5(x + 5)

Reorder the terms:
-246 + 82x = -5(5 + x)
-246 + 82x = (5 * -5 + x * -5)
-246 + 82x = (-25 + -5x)

Solving
-246 + 82x = -25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-246 + 82x + 5x = -25 + -5x + 5x

Combine like terms: 82x + 5x = 87x
-246 + 87x = -25 + -5x + 5x

Combine like terms: -5x + 5x = 0
-246 + 87x = -25 + 0
-246 + 87x = -25

Add '246' to each side of the equation.
-246 + 246 + 87x = -25 + 246

Combine like terms: -246 + 246 = 0
0 + 87x = -25 + 246
87x = -25 + 246

Combine like terms: -25 + 246 = 221
87x = 221

Divide each side by '87'.
x = 2.540229885

Simplifying
x = 2.540229885

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