2(x+13)+49-5x=9x+17

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Solution for 2(x+13)+49-5x=9x+17 equation: 


Simplifying
2(x + 13) + 49 + -5x = 9x + 17

Reorder the terms:
2(13 + x) + 49 + -5x = 9x + 17
(13 * 2 + x * 2) + 49 + -5x = 9x + 17
(26 + 2x) + 49 + -5x = 9x + 17

Reorder the terms:
26 + 49 + 2x + -5x = 9x + 17

Combine like terms: 26 + 49 = 75
75 + 2x + -5x = 9x + 17

Combine like terms: 2x + -5x = -3x
75 + -3x = 9x + 17

Reorder the terms:
75 + -3x = 17 + 9x

Solving
75 + -3x = 17 + 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.
75 + -3x + -9x = 17 + 9x + -9x

Combine like terms: -3x + -9x = -12x
75 + -12x = 17 + 9x + -9x

Combine like terms: 9x + -9x = 0
75 + -12x = 17 + 0
75 + -12x = 17

Add '-75' to each side of the equation.
75 + -75 + -12x = 17 + -75

Combine like terms: 75 + -75 = 0
0 + -12x = 17 + -75
-12x = 17 + -75

Combine like terms: 17 + -75 = -58
-12x = -58

Divide each side by '-12'.
x = 4.833333333

Simplifying
x = 4.833333333

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