3x-5(x-50)=-6+4x-17

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Solution for 3x-5(x-50)=-6+4x-17 equation: 


Simplifying
3x + -5(x + -50) = -6 + 4x + -17

Reorder the terms:
3x + -5(-50 + x) = -6 + 4x + -17
3x + (-50 * -5 + x * -5) = -6 + 4x + -17
3x + (250 + -5x) = -6 + 4x + -17

Reorder the terms:
250 + 3x + -5x = -6 + 4x + -17

Combine like terms: 3x + -5x = -2x
250 + -2x = -6 + 4x + -17

Reorder the terms:
250 + -2x = -6 + -17 + 4x

Combine like terms: -6 + -17 = -23
250 + -2x = -23 + 4x

Solving
250 + -2x = -23 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
250 + -2x + -4x = -23 + 4x + -4x

Combine like terms: -2x + -4x = -6x
250 + -6x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
250 + -6x = -23 + 0
250 + -6x = -23

Add '-250' to each side of the equation.
250 + -250 + -6x = -23 + -250

Combine like terms: 250 + -250 = 0
0 + -6x = -23 + -250
-6x = -23 + -250

Combine like terms: -23 + -250 = -273
-6x = -273

Divide each side by '-6'.
x = 45.5

Simplifying
x = 45.5

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