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 = 100
4x = 100

Divide each side by '4'.
x = 25

Simplifying
x = 25

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