72-(5x+5)=5(x+9)+x

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Solution for 72-(5x+5)=5(x+9)+x equation:


Simplifying
72 + -1(5x + 5) = 5(x + 9) + x

Reorder the terms:
72 + -1(5 + 5x) = 5(x + 9) + x
72 + (5 * -1 + 5x * -1) = 5(x + 9) + x
72 + (-5 + -5x) = 5(x + 9) + x

Combine like terms: 72 + -5 = 67
67 + -5x = 5(x + 9) + x

Reorder the terms:
67 + -5x = 5(9 + x) + x
67 + -5x = (9 * 5 + x * 5) + x
67 + -5x = (45 + 5x) + x

Combine like terms: 5x + x = 6x
67 + -5x = 45 + 6x

Solving
67 + -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.
67 + -5x + -6x = 45 + 6x + -6x

Combine like terms: -5x + -6x = -11x
67 + -11x = 45 + 6x + -6x

Combine like terms: 6x + -6x = 0
67 + -11x = 45 + 0
67 + -11x = 45

Add '-67' to each side of the equation.
67 + -67 + -11x = 45 + -67

Combine like terms: 67 + -67 = 0
0 + -11x = 45 + -67
-11x = 45 + -67

Combine like terms: 45 + -67 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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