104-(5x+15)=5(x+9)+x

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Solution for 104-(5x+15)=5(x+9)+x equation:


Simplifying
104 + -1(5x + 15) = 5(x + 9) + x

Reorder the terms:
104 + -1(15 + 5x) = 5(x + 9) + x
104 + (15 * -1 + 5x * -1) = 5(x + 9) + x
104 + (-15 + -5x) = 5(x + 9) + x

Combine like terms: 104 + -15 = 89
89 + -5x = 5(x + 9) + x

Reorder the terms:
89 + -5x = 5(9 + x) + x
89 + -5x = (9 * 5 + x * 5) + x
89 + -5x = (45 + 5x) + x

Combine like terms: 5x + x = 6x
89 + -5x = 45 + 6x

Solving
89 + -5x = 45 + 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.
89 + -5x + -6x = 45 + 6x + -6x

Combine like terms: -5x + -6x = -11x
89 + -11x = 45 + 6x + -6x

Combine like terms: 6x + -6x = 0
89 + -11x = 45 + 0
89 + -11x = 45

Add '-89' to each side of the equation.
89 + -89 + -11x = 45 + -89

Combine like terms: 89 + -89 = 0
0 + -11x = 45 + -89
-11x = 45 + -89

Combine like terms: 45 + -89 = -44
-11x = -44

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

Simplifying
x = 4

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