93-(5x+9)=5(x+8)+x

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Solution for 93-(5x+9)=5(x+8)+x equation: 


Simplifying
93 + -1(5x + 9) = 5(x + 8) + x

Reorder the terms:
93 + -1(9 + 5x) = 5(x + 8) + x
93 + (9 * -1 + 5x * -1) = 5(x + 8) + x
93 + (-9 + -5x) = 5(x + 8) + x

Combine like terms: 93 + -9 = 84
84 + -5x = 5(x + 8) + x

Reorder the terms:
84 + -5x = 5(8 + x) + x
84 + -5x = (8 * 5 + x * 5) + x
84 + -5x = (40 + 5x) + x

Combine like terms: 5x + x = 6x
84 + -5x = 40 + 6x

Solving
84 + -5x = 40 + 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.
84 + -5x + -6x = 40 + 6x + -6x

Combine like terms: -5x + -6x = -11x
84 + -11x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
84 + -11x = 40 + 0
84 + -11x = 40

Add '-84' to each side of the equation.
84 + -84 + -11x = 40 + -84

Combine like terms: 84 + -84 = 0
0 + -11x = 40 + -84
-11x = 40 + -84

Combine like terms: 40 + -84 = -44
-11x = -44

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

Simplifying
x = 4

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