13(x+9)=9x-17

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


Simplifying
13(x + 9) = 9x + -17

Reorder the terms:
13(9 + x) = 9x + -17
(9 * 13 + x * 13) = 9x + -17
(117 + 13x) = 9x + -17

Reorder the terms:
117 + 13x = -17 + 9x

Solving
117 + 13x = -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.
117 + 13x + -9x = -17 + 9x + -9x

Combine like terms: 13x + -9x = 4x
117 + 4x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
117 + 4x = -17 + 0
117 + 4x = -17

Add '-117' to each side of the equation.
117 + -117 + 4x = -17 + -117

Combine like terms: 117 + -117 = 0
0 + 4x = -17 + -117
4x = -17 + -117

Combine like terms: -17 + -117 = -134
4x = -134

Divide each side by '4'.
x = -33.5

Simplifying
x = -33.5

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