65-(5x+13)=5(x+6)+x

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Solution for 65-(5x+13)=5(x+6)+x equation:


Simplifying
65 + -1(5x + 13) = 5(x + 6) + x

Reorder the terms:
65 + -1(13 + 5x) = 5(x + 6) + x
65 + (13 * -1 + 5x * -1) = 5(x + 6) + x
65 + (-13 + -5x) = 5(x + 6) + x

Combine like terms: 65 + -13 = 52
52 + -5x = 5(x + 6) + x

Reorder the terms:
52 + -5x = 5(6 + x) + x
52 + -5x = (6 * 5 + x * 5) + x
52 + -5x = (30 + 5x) + x

Combine like terms: 5x + x = 6x
52 + -5x = 30 + 6x

Solving
52 + -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.
52 + -5x + -6x = 30 + 6x + -6x

Combine like terms: -5x + -6x = -11x
52 + -11x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
52 + -11x = 30 + 0
52 + -11x = 30

Add '-52' to each side of the equation.
52 + -52 + -11x = 30 + -52

Combine like terms: 52 + -52 = 0
0 + -11x = 30 + -52
-11x = 30 + -52

Combine like terms: 30 + -52 = -22
-11x = -22

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

Simplifying
x = 2

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