83-(5x+9)=5(x+6)+x

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Solution for 83-(5x+9)=5(x+6)+x equation: 


Simplifying
83 + -1(5x + 9) = 5(x + 6) + x

Reorder the terms:
83 + -1(9 + 5x) = 5(x + 6) + x
83 + (9 * -1 + 5x * -1) = 5(x + 6) + x
83 + (-9 + -5x) = 5(x + 6) + x

Combine like terms: 83 + -9 = 74
74 + -5x = 5(x + 6) + x

Reorder the terms:
74 + -5x = 5(6 + x) + x
74 + -5x = (6 * 5 + x * 5) + x
74 + -5x = (30 + 5x) + x

Combine like terms: 5x + x = 6x
74 + -5x = 30 + 6x

Solving
74 + -5x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
74 + -5x + -6x = 30 + 6x + -6x

Combine like terms: -5x + -6x = -11x
74 + -11x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
74 + -11x = 30 + 0
74 + -11x = 30

Add '-74' to each side of the equation.
74 + -74 + -11x = 30 + -74

Combine like terms: 74 + -74 = 0
0 + -11x = 30 + -74
-11x = 30 + -74

Combine like terms: 30 + -74 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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