(x+3)+x=9(x+6)+5

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Solution for (x+3)+x=9(x+6)+5 equation:


Simplifying
(x + 3) + x = 9(x + 6) + 5

Reorder the terms:
(3 + x) + x = 9(x + 6) + 5

Remove parenthesis around (3 + x)
3 + x + x = 9(x + 6) + 5

Combine like terms: x + x = 2x
3 + 2x = 9(x + 6) + 5

Reorder the terms:
3 + 2x = 9(6 + x) + 5
3 + 2x = (6 * 9 + x * 9) + 5
3 + 2x = (54 + 9x) + 5

Reorder the terms:
3 + 2x = 54 + 5 + 9x

Combine like terms: 54 + 5 = 59
3 + 2x = 59 + 9x

Solving
3 + 2x = 59 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 2x + -9x = 59 + 9x + -9x

Combine like terms: 2x + -9x = -7x
3 + -7x = 59 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -7x = 59 + 0
3 + -7x = 59

Add '-3' to each side of the equation.
3 + -3 + -7x = 59 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 59 + -3
-7x = 59 + -3

Combine like terms: 59 + -3 = 56
-7x = 56

Divide each side by '-7'.
x = -8

Simplifying
x = -8

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